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publisher = {American Mathematical Society},
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date = {2008},
note = {http://arxiv.org/abs/math/0608104},
pages = {71--81},
title = {Search Techniques for Root-Unitary Polynomials},
}
@inproceedings{KedlayaSutherland2008,
author = {Kedlaya, Kiran S. and Sutherland, Andrew V.},
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publisher = {Springer},
booktitle = {Proceedings of the 8th International Symposium on Algorithmic Number Theory},
date = {2008},
note = {http://arxiv.org/abs/0801.2778},
pages = {312--326},
series = {Lecture Notes in Computer Science},
title = {Computing $L$-Series of Hyperelliptic Curves},
volume = {5011},
}
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date = {2011},
journaltitle = {Biochemistry (Moscow) Supplement Series A: Membrane and Cell Biology},
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title = {Entropic Part of the Boundary Energy in a Lipid Membrane},
volume = {5},
}
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author = {Kilford, L. J. P.},
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date = {2008},
note = {http://www.icpress.co.uk/mathematics/p564.html},
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title = {Slopes of the $U_7$ operator acting on a space of overconvergent modular forms},
volume = {15},
}
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author = {Kimura, Iwao},
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date = {2010},
note = {http://hdl.handle.net/10110/8946},
pages = {125--144},
series = {RIMS Kôkyûroku Bessatsu},
title = {Sage for number theorists (Japanese)},
volume = {B32},
}
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author = {King, Simon A. and Green, David and Ellis, Graham},
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number = {2},
pages = {719--734},
title = {The mod-2 cohomology ring of the third Conway group is Cohen-Macaulay},
volume = {11},
}
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author = {King, Simon A.},
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note = {http://arxiv.org/abs/1004.0736},
number = {1},
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title = {Comparing completeness criteria for modular cohomology rings of finite groups},
volume = {374},
}
@misc{KingPressland2014,
author = {King, Alastair and Pressland, Matthew},
date = {2014},
howpublished = {arXiv:1309.6579},
note = {http://arxiv.org/abs/1309.6579},
title = {Labelled Seeds and Global Mutations},
}
@article{KlerkEtAl2013,
author = {de Klerk, E. and Pasechnik, D. V. and Salazar, G.},
date = {2013},
doi = {10.1137/120886777},
issn = {0895-4801},
journaltitle = {SIAM J. Discrete Math.},
number = {2},
pages = {619--633},
title = {Improved lower bounds on book crossing numbers of complete graphs},
volume = {27},
}
@misc{Kluck2011,
author = {Kluck, Timo},
date = {2011},
howpublished = {arXiv:1111.7163},
note = {http://arxiv.org/abs/1111.7163},
title = {On the Calogero-Moser solution by root-type Lax pair},
}
@article{zhou:extreme-notes,
abstract = {In this note we announce the availability of an electronic compendium of extreme functions for Gomory--Johnson's infinite group problem. These functions serve as the strongest cut-generating functions for integer linear optimization problems. We also close several gaps in the literature.},
author = {Köppe, Matthias and Zhou, Yuan},
annotation = {in basu-hildebrand-koeppe-papers/yuan/extreme-notes/extreme-notes.tex},
date = {2015},
doi = {10.1016/j.orl.2015.06.004},
issn = {0167-6377},
journaltitle = {Operations Research Letters},
keywords = {Software},
number = {4},
pages = {438--444},
title = {An electronic compendium of extreme functions for the Gomory--Johnson infinite group problem},
volume = {43},
}
@unpublished{Kohel2008,
author = {Kohel, David R.},
date = {2008-11},
note = {http://www.sagemath.org/files/kohel-book-2008.pdf},
title = {Cryptography},
}
@article{Kohel2011,
author = {Kohel, David},
date = {2011},
journaltitle = {Journal of Number Theory},
note = {http://arxiv.org/abs/1005.3623},
number = {5},
pages = {894--919},
title = {Addition law structure of elliptic curves},
volume = {131},
}
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author = {Koo, Koopa and Stein, William and Wiese, Gabor},
date = {2008},
journaltitle = {Journal de Théorie des Nombres de Bordeaux},
note = {http://www.wstein.org/papers/heckepoly},
number = {2},
pages = {373--384},
title = {On the Generation of the Coefficient Field of a Newform by a Single Hecke Eigenvalue},
volume = {20},
}
@misc{KoprowskiCzogala2013,
author = {Koprowski, Przemys\law and Czoga\la, Alfred},
date = {2013},
howpublished = {arXiv:1304.0708},
note = {http://arxiv.org/abs/1304.0708},
title = {Computing with quadratic forms over number fields},
}
@unpublished{Kosan2008,
author = {Kosan, Ted},
date = {2008-02},
note = {http://sage.math.washington.edu/home/tkosan/newbies_book/},
title = {SAGE For Newbies},
}
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number = {1},
pages = {291--319},
title = {Mod-Gaussian convergence and the value distribution of ($\frac{1}{2}$ + \emph{it}) and related quantities},
volume = {86},
}
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author = {Kredel, Heinz},
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booktitle = {ASCM},
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series = {Lecture Notes in Computer Science},
title = {Evaluation of a Java Computer Algebra System},
volume = {5081},
}
@inproceedings{Kredel2008B,
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booktitle = {Automated Deduction in Geometry},
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note = {http://dx.doi.org/10.1007/978-3-642-21046-4_5},
pages = {86--115},
title = {Unique Factorization Domains in the Java Computer Algebra System},
}
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booktitle = {CASC},
date = {2010},
note = {http://dx.doi.org/10.1007/978-3-642-15274-0_14},
pages = {162--177},
series = {Lecture Notes in Computer Science},
title = {Generic, Type-Safe and Object Oriented Computer Algebra Software},
volume = {6244},
}
@thesis{Krenn2012,
author = {Krenn, Daniel},
institution = {Institute of Optimization and Discrete Mathematics},
location = {Graz University of Technology, Austria},
date = {2012},
note = {http://www.sagemath.org/files/thesis/krenn-thesis-2012.pdf},
title = {Digit Expansions with Applications in Cryptography},
type = {phdthesis},
}
@article{KrennEtAl2013,
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date = {2013},
journaltitle = {Monatshefte für Mathematik},
note = {http://dx.doi.org/10.1007/s00605-012-0443-4},
number = {3-4},
pages = {377--394},
title = {On linear combinations of units with bounded coefficients and double-base digit expansions},
volume = {171},
}
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date = {2009},
journaltitle = {Qualitative Theory of Dynamical Systems},
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number = {2},
pages = {357--370},
title = {Finiteness in the Planar Restricted Four-Body Problem},
volume = {8},
}
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author = {Kurth, Chris A. and Long, Ling},
editor = {Shum, K. P. and Zelmanov, E. and Zhang, Jiping and Shangzhi, Li},
publisher = {World Scientific},
booktitle = {Proceedings of the Second International Congress in Algebra and Combinatorics},
date = {2007},
note = {http://arxiv.org/abs/0710.1835},
pages = {225--242},
title = {Computations with Finite Index Subgroups of $PSL_2(\mathbb Z)$ Using Farey Symbols},
}
@thesis{Laarakker2009,
author = {Laarakker, Avra},
institution = {Acadia University},
location = {Canada},
date = {2009},
note = {http://www.sagemath.org/files/thesis/laarakker-thesis-2009.pdf},
title = {Topological Properties of Tiles and Digit Sets},
type = {mathesis},
}
@article{Labbe2011,
author = {Labbé, Sébastien},
date = {2011},
journaltitle = {Bulletin Association Mathématique du Québec},
note = {http://archimede.mat.ulaval.ca/amq/BullNumeros.html},
number = {2},
pages = {59--67},
title = {Sage, un logiciel libre de mathématiques},
volume = {51},
}
@article{LamEtAl2010,
author = {Lam, Thomas and Schilling, Anne and Shimozono, Mark},
date = {2010},
journaltitle = {Compositio Mathematica},
note = {http://arxiv.org/abs/0901.1506},
number = {4},
pages = {811--852},
title = {$K$-theory Schubert Calculus of the Affine Grassmannian},
volume = {146},
}
@book{LamEtAl2013,
author = {Lam, Thomas and Lapointe, Luc and Morse, Jennifer and Schilling, Anne and Shimozono, Mark and Zabrocki, Mike},
publisher = {arxiv},
date = {2013},
note = {http://arxiv.org/abs/1301.3569},
title = {$k$-Schur functions and affine Schubert calculus},
}
@thesis{LaraRodriguez2009,
author = {Rodríguez, José Alejandro Lara},
institution = {Universidad Autónoma de Yucatán},
location = {Mexico},
date = {2009},
title = {Some conjectures and results about multizeta values for $\mathbb{F}_q[t]$},
type = {mathesis},
}
@article{LaraRodriguez2010,
author = {Rodríguez, José Alejandro Lara},
date = {2010},
journaltitle = {Journal of Number Theory},
note = {http://arxiv.org/abs/1108.4722},
number = {4},
pages = {1013--1023},
title = {Some conjectures and results about multizeta values for $\mathbb{F}_q[t]$},
volume = {130},
}
@article{LaraRodriguez2011a,
author = {Rodríguez, José Alejandro Lara},
date = {2011},
journaltitle = {Journal of Number Theory},
note = {http://arxiv.org/abs/1108.4725},
number = {11},
pages = {2081--2099},
title = {Relations between multizeta values in characteristic $p$},
volume = {131},
}
@misc{LaraRodriguez2011b,
author = {Rodríguez, José Alejandro Lara},
date = {2011},
howpublished = {arXiv:1108.4726},
note = {http://arxiv.org/abs/1108.4726},
title = {Special relations between multizeta values and parity results},
}
@article{LaraRodriguez2012,
author = {Rodríguez, José Alejandro Lara},
date = {2012},
journaltitle = {Journal of Number Theory},
note = {http://dx.doi.org/10.1016/j.jnt.2011.12.005},
number = {4},
pages = {495--501},
title = {On von Staudt for Bernoulli-Carlitz numbers},
volume = {132},
}
@misc{Lauder2012,
author = {Lauder, Alan},
date = {2012},
howpublished = {Home page of Alan Lauder},
note = {http://people.maths.ox.ac.uk/lauder/},
title = {Efficient computation of Rankin p-adic L-functions},
}
@article{LeSommerEtAl2011,
author = {{Le Sommer}, J. and d'Ovidio, F. and Madec, G.},
date = {2011},
journaltitle = {Ocean Modelling},
note = {http://dx.doi.org/10.1016/j.ocemod.2011.03.007},
number = {1-2},
pages = {154--169},
title = {Parameterization of subgrid stirring in eddy resolving ocean models. Part 1: Theory and diagnostics},
volume = {39},
}
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author = {Lenart, Cristian and Naito, Satoshi and Sagaki, Daisuke and Schilling, Anne and Shimozono, Mark},
date = {2013},
howpublished = {arXiv:1211.6019},
journaltitle = {DMCTS proc},
note = {http://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/issue/view/130},
pages = {25--36},
title = {A uniform model for Kirillov-Reshetikhin crystals. Extended abstract},
volume = {AS},
}
@article{LenartEtAl2014A,
author = {Lenart, Cristian and Naito, Satoshi and Sagaki, Daisuke and Schilling, Anne and Shimozono, Mark},
date = {2015},
doi = {10.1093/imrn/rnt263},
howpublished = {arXiv:1211.2042},
issn = {1073-7928},
journaltitle = {Int. Math. Res. Not. IMRN},
number = {7},
pages = {1848--1901},
title = {A uniform model for Kirillov-Reshetikhin crystals I: Lifting the parabolic quantum Bruhat graph},
}
@misc{LenartEtAl2014B,
author = {Lenart, Cristian and Naito, Satoshi and Sagaki, Daisuke and Schilling, Anne and Shimozono, Mark},
date = {2014},
howpublished = {arXiv:1402.2203},
note = {http://arxiv.org/abs/1402.2202},
title = {A uniform model for Kirillov-Reshetikhin crystals {II}. Alcove model, path model, and $P=X$},
}
@article{LenartSchilling2013,
author = {Lenart, Cristian and Schilling, Anne},
date = {2013},
journaltitle = {Mathematische Zeitschrift},
note = {http://arxiv.org/abs/1107.4169},
number = {1-2},
pages = {401--426},
title = {Crystal energy functions via the charge in types A and C},
volume = {273},
}
@article{Levin2008,
author = {Levin, Aaron},
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journaltitle = {Journal de théorie des nombres de Bordeaux},
note = {http://dx.doi.org/10.5802/jtnb.634},
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title = {Variations on a theme of Runge: effective determination of integral points on certain varieties},
volume = {20},
}
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author = {Levine, Lionel and Stange, Katherine E.},
date = {2012},
journaltitle = {American Mathematical Monthly},
note = {http://arxiv.org/abs/1104.0961},
number = {7},
pages = {550--565},
title = {How to make the most of a shared meal: plan the last bite first},
volume = {119},
}
@article{LintonEtAl2013,
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journaltitle = {Journal of Symbolic Computation},
note = {http://dx.doi.org/10.1016/j.jsc.2011.12.019},
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pages = {95--119},
title = {Easy composition of symbolic computation software using SCSCP: A new Lingua Franca for symbolic computation},
volume = {49},
}
@article{Lotscher2010,
author = {Lötscher, Roland},
date = {2010},
journaltitle = {Transformation Groups},
note = {http://arxiv.org/abs/0811.3852},
number = {3},
pages = {611--623},
title = {Application of multihomogeneous covariants to the essential dimension of finite groups},
volume = {15},
}
@article{Loeffler2008,
author = {Loeffler, David},
date = {2008},
journaltitle = {LMS Journal of Computation and Mathematics},
note = {http://www.lms.ac.uk/jcm/11/lms2008-002},
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title = {Explicit Calculations of Automorphic Forms for Definite Unitary Groups},
volume = {11},
}
@article{Lorenzini2011,
author = {Lorenzini, Dino},
date = {2011},
journaltitle = {Annales de L'Institut Fourier},
note = {http://www.math.uga.edu/~lorenz/PaperTorsionTamagawaNumbers.pdf},
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pages = {1995--2037},
title = {Torsion and Tamagawa numbers},
volume = {61},
}
@book{Lozano-Robledo2011,
author = {Lozano-Robledo, Álvaro},
publisher = {American Mathematical Society},
date = {2011},
note = {http://www.ams.org/bookstore-getitem/item=STML-58},
series = {Student Mathematical Library},
title = {Elliptic Curves, Modular Forms, and Their $L$-functions},
volume = {58},
}
@misc{Lundqvist2012,
author = {Lundqvist, Samuel},
date = {2012},
howpublished = {arXiv:1211.3398},
note = {http://arxiv.org/abs/1211.3398},
title = {Elementary Algebra Related to the SAT Problem},
}
@inproceedings{MaitraSarkar2008A,
author = {Maitra, Subhamoy and Sarkar, Santanu},
editor = {Tzong-ChenWu and Lei, Chin-Laung and Rijmen, Vincent and Lee, Der-Tsai},
publisher = {Springer},
booktitle = {Proceedings of the 11th International Conference on Information Security},
date = {2008},
note = {http://eprint.iacr.org/2008/228},
pages = {228--243},
series = {Lecture Notes in Computer Science},
title = {Revisiting Wiener's Attack -- New Weak Keys in RSA},
volume = {5222},
}
@inproceedings{MaitraSarkar2008B,
author = {Maitra, Subhamoy and Sarkar, Santanu},
editor = {Chowdhury, Dipanwita Roy and Rijmen, Vincent and Das, Abhijit},
publisher = {Springer},
booktitle = {Proceedings of the 9th International Conference on Cryptology in India Kharagpur},
date = {2008},
note = {http://portal.acm.org/citation.cfm?id=1484936},
pages = {337--349},
series = {Lecture Notes in Computer Science},
title = {A New Class of Weak Encryption Exponents in RSA},
volume = {5365},
}
@article{Marco-Buzunariz2012,
author = {Marco-Buzunáriz, Miguel A.},
date = {2012},
journaltitle = {Journal of Singularities},
note = {http://dx.doi.org/10.5427/jsing.2012.4g},
pages = {114--130},
title = {A polynomial generalization of the Euler characteristic for algebraic sets},
volume = {4},
}
@article{Marquez-CorbellaMartinez-Moro2012,
author = {Márquez-Corbella, Irene and Martínez-Moro, Edgar},
date = {2012},
journaltitle = {Mathematics in Computer Science},
note = {http://dx.doi.org/10.1007/s11786-012-0120-y},
number = {2},
pages = {147--165},
title = {Decomposition of Modular Codes for Computing Test Sets and Graver Basis},
volume = {6},
}
@article{Martinez-MoroEtAl2013,
author = {Martínez-Moro, E. and Pi\tilde{n}era-Nicolás, A. and Rúa, I. F.},
date = {2013},
journaltitle = {Designs, Codes and Cryptography},
note = {http://dx.doi.org/10.1007/s10623-012-9641-2},
number = {2},
pages = {161--180},
title = {Additive semisimple multivariable codes over $F_4$},
volume = {69},
}
@article{Mascot2013,
author = {Mascot, Nicolas},
date = {2013},
journaltitle = {Rendiconti del Circolo Matematico di Palermo},
note = {http://arxiv.org/abs/1211.1635},
number = {3},
pages = {451--476},
title = {Computing modular Galois representations},
volume = {62},
}
@article{MasseEtAl2011A,
author = {Massé, A. Blondin and Brleka, S. and Garona, A. and Labbé, S.},
date = {2011},
journaltitle = {Theoretical Computer Science},
note = {http://dx.doi.org/10.1016/j.tcs.2010.07.005},
number = {27},
pages = {2922--2930},
title = {Equations on palindromes and circular words},
volume = {412},
}
@article{MasseEtAl2011B,
author = {Massé, Alexandre Blondin and Brlek, Srecko and Garon, Ariane and Labbé, Sébastien},
date = {2011},
journaltitle = {Theoretical Computer Science},
note = {http://www.liafa.univ-paris-diderot.fr/~labbe/Publications/2010-two-families.pdf},
number = {36},
pages = {4778--4786},
title = {Two infinite families of polyominoes that tile the plane by translation in two distinct ways},
volume = {412},
}
@misc{Matiyasevich2012,
author = {Matiyasevich, Yuri},
date = {2012},
howpublished = {Technical Report MA12-03, Department of Mathematics, University of Leicester},
note = {http://www2.le.ac.uk/departments/mathematics/research/research-reports-2/reports-2012/MA12_03Matiyasevich.pdf},
title = {New Conjectures about Zeroes of Riemann's Zeta Function},
}
@misc{Matiyasevich2013,
author = {Matiyasevich, Yuri},
date = {2013},
howpublished = {Technical Report MPIM 13-18, Max-Planck-Institut für Mathematik, Germany},
note = {http://www.mpim-bonn.mpg.de/preblob/5368},
title = {Calculation of Riemann's zeta function via interpolating determinants},
}
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title = {Controlling Our Errors},
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author = {Mazur, Barry},
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pages = {185--228},
title = {Finding Meaning in Error Terms},
volume = {45},
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@article{MazurEtAl2007,
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note = {http://www.emis.de/journals/DMJDMV/vol-coates/mazur_stein_tate.pdf},
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volume = {extra Volume},
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@book{McAndrew2011,
author = {McAndrew, Alasdair},
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note = {http://www.amazon.com/Introduction-Cryptography-Open-Source-Mathematics-Applications/dp/143982570X/},
title = {Introduction to Cryptography with Open-Source Software},
}
@thesis{McGown2010A,
author = {McGown, Kevin Joseph},
institution = {Department of Mathematics},
location = {University of California, San Diego, USA},
date = {2010},
note = {http://www.sagemath.org/files/thesis/mcgown-thesis-2010.pdf},
title = {Norm-Euclidean Galois Fields},
type = {phdthesis},
}
@misc{McGown2010B,
author = {McGown, Kevin J.},
date = {2010},
howpublished = {arXiv:1011.4501},
note = {http://arxiv.org/abs/1011.4501},
title = {Norm-Euclidean Galois fields},
}
@article{McLemanRasmussen2012,
author = {McLeman, Cam and Rasmussen, Christopher},
date = {2012},
journaltitle = {Bulletin of the London Mathematical Society},
note = {http://arxiv.org/abs/1008.4766},
number = {6},
pages = {1221--1236},
title = {Class number formulas via 2-isogenies of elliptic curves},
volume = {44},
}
@thesis{Miller2010A,
author = {Miller, Robert L.},
institution = {Department of Mathematics},
location = {University of Washington, USA},
date = {2010},
note = {http://www.sagemath.org/files/thesis/miller-thesis-2010.pdf},
title = {Empirical Evidence for the Birch and Swinnerton-Dyer Conjecture},
type = {phdthesis},
}
@article{Miller2011,
author = {Miller, Robert L.},
date = {2011},
journaltitle = {LMS Journal of Computation and Mathematics},
note = {http://arxiv.org/abs/1010.2431},
pages = {327--350},
title = {Proving the Birch and Swinnerton-Dyer conjecture for specific elliptic curves of analytic rank zero and one},
volume = {14},
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@article{MoeQviller2013,
author = {Moe, Torgunn Karoline and Qviller, Nikolay},
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date = {2007},
journaltitle = {Documenta Mathematica},
note = {http://www.emis.de/journals/DMJDMV/vol-12/19.pdf},
pages = {587--606},
title = {Visibility of Mordell-Weil groups},
volume = {12},
}
@book{Stein2008A,
author = {Stein, William},
publisher = {Springer},
date = {2008},
note = {http://www.wstein.org/ent},
title = {Elementary Number Theory: Primes, Congruences, and Secrets},
}
@inproceedings{Stein2008B,
author = {Stein, William},
editor = {Sendra, J. Rafael and González-Vega, Laureano},
publisher = {Association for Computing Machinery},
booktitle = {ISSAC 2008: Proceedings of the International Symposium on Symbolic and Algebraic Computation},
date = {2008},
note = {http://portal.acm.org/citation.cfm?id=1390771},
pages = {5--6},
title = {Can We Create A Viable Free Open Source Alternative to Magma, Maple, Mathematica and Matlab?},
}
@incollection{Stein2008C,
author = {Stein, William A.},
editor = {Buhler, Joseph P. and Stevenhagen, Peter},
publisher = {Cambridge University Press},
booktitle = {Algorithmic Number Theory: Lattices, Number Fields, Curves and Cryptography},
date = {2008},
note = {http://library.msri.org/books/Book44/contents.html},
pages = {641--652},
title = {An introduction to computing modular forms using modular symbols},
}
@article{Stein2010,
author = {Stein, William},
date = {2010},
journaltitle = {International Mathematics Research Notices},
note = {http://www.wstein.org/papers/stein-ggz},
number = {24},
pages = {rnq075v1--rnq075},
title = {Toward a Generalization of the Gross-Zagier Conjecture},
volume = {2010},
}
@article{SteinJoyner2005,
author = {Stein, William and Joyner, David},
date = {2005},
journaltitle = {ACM SIGSAM Bulletin},
note = {http://www.sagemath.org/files/sage_stein2005.pdf},
number = {2},
pages = {61--64},
title = {{SAGE}: System for Algebra and Geometry Experimentation},
volume = {39},
}
@book{SteinEtAl2009,
author = {Stein, William and others},
publisher = {CreateSpace},
date = {2009},
note = {http://www.amazon.com/Sage-tutorial-version-3-4-Group/dp/1442141948/ref=sr_1_2?ie=UTF8&s=books&qid=1261010025&sr=1-2},
title = {Sage Tutorial},
}
@article{SteinWuthrich2013,
author = {Stein, William and Wuthrich, Christian},
date = {2013},
journaltitle = {Mathematics of Computation},
note = {http://wstein.org/papers/shark},
number = {283},
pages = {1757--1792},
title = {Algorithms for the arithmetic of elliptic curves using Iwasawa theory},
volume = {82},
}
@article{Stix2011,
author = {Stix, Jakob},
date = {2011},
journaltitle = {Journal of Pure and Applied Algebra},
note = {http://dx.doi.org/10.1016/j.jpaa.2010.08.017},
number = {6},
pages = {1371--1397},
title = {The Brauer-Manin obstruction for sections of the fundamental group},
volume = {215},
}
@book{Stix2013,
author = {Stix, Jakob},
publisher = {Springer},
date = {2013},
note = {http://link.springer.com/book/10.1007/978-3-642-30674-7/},
title = {Rational Points and Arithmetic of Fundamental Groups: Evidence for the Section Conjecture},
}
@thesis{Straub2008,
author = {Straub, Armin},
institution = {Department of Mathematics},
location = {Technische Universität Darmstadt, Germany},
date = {2008},
note = {http://www.sagemath.org/files/thesis/straub-thesis-2008.pdf},
title = {Local recognition of reflection graphs on Coxeter groups},
type = {mathesis},
}
@thesis{Streng2010,
author = {Streng, Marco},
institution = {Thomas Stieltjes Institute for Mathematics},
location = {Universiteit Leiden, The Netherlands},
date = {2010},
note = {http://www.sagemath.org/files/thesis/streng-thesis-2010.pdf},
title = {Complex multiplication of abelian surfaces},
type = {phdthesis},
}
@article{Streng2014,
author = {Streng, Marco},
date = {2014},
journaltitle = {Mathematics of Computation},
note = {http://arxiv.org/abs/0903.4766},
number = {285},
pages = {275--309},
title = {Computing Igusa class polynomials},
volume = {83},
}
@article{Stromberg2012,
author = {Strömberg, Fredrik},
date = {2012},
journaltitle = {Proceedings of the London Mathematical Society},
note = {http://arxiv.org/abs/1106.5741},
number = {2},
pages = {281--310},
title = {Newforms and Spectral Multiplicities for $\Gamma_0(9)$},
volume = {105},
}
@article{Stromberg2013,
author = {Strömberg, Fredrik},
date = {2013},
journaltitle = {Mathematische Zeitschrift},
note = {http://arxiv.org/abs/1108.0202},
number = {1-2},
pages = {509--527},
title = {Weil representations associated with finite quadratic modules},
volume = {275},
}
@article{Tabera2011,
author = {Tabera, Luis Felipe},
date = {2011},
journaltitle = {Journal of Symbolic Computation},
note = {http://dx.doi.org/10.1016/j.jsc.2011.04.001},
number = {8},
pages = {967--976},
title = {Optimal affine reparametrization of rational curves},
volume = {46},
}
@article{Tabera2013,
author = {Tabera, Luis Felipe},
date = {2013},
journaltitle = {Journal of Symbolic Computation},
note = {http://dx.doi.org/10.1016/j.jsc.2012.09.001},
number = {3},
pages = {450--464},
title = {Computing hypercircles by moving hyperplanes},
volume = {50},
}
@article{TaniguchiThorne2013,
author = {Taniguchi, Takashi and Thorne, Frank},
date = {2013},
journaltitle = {Duke Mathematical Journal},
note = {http://arxiv.org/abs/1102.2914},
number = {13},
pages = {2345--2607},
title = {Secondary terms in counting functions for cubic fields},
volume = {162},
}
@thesis{Taylor2010,
author = {Taylor, Graeme},
institution = {School of Mathematics},
location = {University of Edinburgh, UK},
date = {2010},
note = {http://www.sagemath.org/files/thesis/taylor-thesis-2010.pdf},
title = {Cyclotomic Matrices and Graphs},
type = {phdthesis},
}
@article{Taylor2011,
author = {Taylor, Graeme},
date = {2011},
journaltitle = {Journal of Algebra},
note = {http://dx.doi.org/10.1016/j.jalgebra.2011.02.009},
number = {1},
pages = {523--545},
title = {Cyclotomic matrices and graphs over the ring of integers of some imaginary quadratic fields},
volume = {331},
}
@misc{Thiery2008,
author = {Thiéry, Nicolas M.},
date = {2008},
howpublished = {Mémoire d'{Ha}bilitation à Diriger des Recherches},
note = {http://arxiv.org/abs/0912.2619},
title = {Algèbre Combinatoire et Effective; des graphes aux algèbres de Kac \emph{via} l'exploration informatique},
}
@misc{Thiery2009,
author = {Thiéry, Nicolas M.},
date = {2009},
howpublished = {Software demonstration, FPSAC'09, Hagenberg, Austria},
note = {http://wiki.sagemath.org/combinat?action=AttachFile&do=get&target=2009-07-20-FPSAC.pdf},
title = {Sage-Combinat, Free and Practical Software for Algebraic Combinatorics},
}
@misc{ThomaeWolf2011,
author = {Thomae, Enrico and Wolf, Christopher},
date = {2011},
howpublished = {Cryptology ePrint Archive: Report 2011/431},
note = {http://eprint.iacr.org/2011/431},
title = {Roots of Square: Cryptanalysis of DoubleLayer Square and Square+},
}
@article{Vallieres2012,
author = {Vallières, Daniel},
date = {2012},
journaltitle = {Journal of Number Theory},
note = {http://dx.doi.org/10.1016/j.jnt.2012.05.008},
number = {11},
pages = {2535--2567},
title = {On a generalization of the rank one Rubin-Stark conjecture},
volume = {132},
}
@inproceedings{VelichkovEtAl2009,
author = {Velichkov, Vesselin and Rijmen, Vincent and Preneel, Bart},
publisher = {Werkgemeenschap voor Informatieen Communicatietheorie},
booktitle = {Proceedings of the 30th Symposium on Information Theory in the Benelux},
date = {2009},
note = {http://www.cosic.esat.kuleuven.be/publications/article-1225.pdf},
title = {Algebraic Cryptanalysis of a Small-Scale Version of Stream Cipher LEX},
}
@inproceedings{Voight2008A,
author = {Voight, John},
editor = {van der Poorten, Alfred J. and Stein, Andreas},
publisher = {Springer},
booktitle = {Proceedings of the 8th International Symposium on Algorithmic Number Theory},
date = {2008},
note = {http://arxiv.org/abs/0802.0194},
pages = {268--281},
series = {Lecture Notes in Computer Science},
title = {Enumeration of Totally Real Number Fields of Bounded Root Discriminant},
volume = {5011},
}
@article{Voight2008B,
author = {Voight, John},
date = {2008},
journaltitle = {Annales des sciences mathématiques du Québec},
note = {http://www.labmath.uqam.ca/~annales/volumes/32-2/PDF/221-232.pdf},
number = {2},
pages = {221--232},
title = {The Gauss higher relative class number problem},
volume = {32},
}
@book{Washington2008,
author = {Washington, Lawrence C.},
publisher = {Chapman \& Hall/CRC},
date = {2008},
edition = {2nd},
note = {http://www-users.math.umd.edu/~lcw/ellipticcurves.html},
title = {Elliptic Curves: Number Theory and Cryptography},
}
@thesis{Weinmann2009,
author = {Weinmann, Ralf-Philipp},
institution = {Department of Computer Science},
location = {Technischen Universität Darmstadt, Germany},
date = {2009},
note = {http://www.sagemath.org/files/thesis/weinmann-thesis-2009.pdf},
title = {Algebraic Methods in Block Cipher Cryptanalysis},
type = {phdthesis},
}
@misc{WongEtAl2009,
author = {Wong, Kenneth Koon-Ho and Bard, Gregory V. and Lewis, Robert H.},
date = {2009},
howpublished = {Cryptology ePrint Archive: Report 2009/343},
note = {http://eprint.iacr.org/2009/343},
title = {Partitioning Multivariate Polynomial Equations via Vertex Separators for Algebraic Cryptanalysis and Mathematical Applications},
}
@thesis{Yu2010,
author = {Yu, Miao},
institution = {Department of Mathematics},
location = {University of Southern Mississippi, USA},
date = {2010},
title = {An F4-Style Involutive Basis Algorithm},
type = {mathesis},
}
@article{pecora2014cluster,
author = {Pecora, Louis M and Sorrentino, Francesco and Hagerstrom, Aaron M and Murphy, Thomas E and Roy, Rajarshi},
publisher = {Nature Publishing Group},
date = {2014},
doi = {10.1038/ncomms5079},
journaltitle = {Nature communications},
note = {http://www.nature.com/ncomms/2014/140613/ncomms5079/full/ncomms5079.html},
title = {Cluster synchronization and isolated desynchronization in complex networks with symmetries},
volume = {5},
}
@book{bard2014,
author = {Bard, Gregory V.},
publisher = {American Mathematical Society},
date = {2014},
note = {http://www.gregorybard.com/SAGE.html},
title = {Sage for Undergraduates},
}
@article{doi:10.1021/jp504197w,
author = {Mietta, J. L. and Negri, R. M. and Tamborenea, P. I.},
date = {2014},
doi = {10.1021/jp504197w},
eprint = {http://dx.doi.org/10.1021/jp504197w},
journaltitle = {The Journal of Physical Chemistry C},
note = {http://dx.doi.org/10.1021/jp504197w},
number = {35},
pages = {20594--20604},
title = {Numerical Simulations of Stick Percolation: Application to the Study of Structured Magnetorheological Elastomers},
volume = {118},
}
@article{rhalyrhoadesweightedmean,
author = {Jr., H. C. Rhaly and Rhoades, B. E.},
date = {2014},
journaltitle = {Studia Universitatis Babes-Bolyai Mathematica},
note = {http://www.cs.ubbcluj.ro/~studia-m/2014-3/08-rhaly-final.pdf},
number = {3},
pages = {365--368},
title = {The weighted mean operator on $\ell^2$ with weight sequence $w_n = (n + 1)^p$ is hyponormal for $p=2$.},
volume = {59},
}
@article{HoRationalPoints2014,
author = {Ho, Wei},
date = {2014},
journaltitle = {American Mathematical Society. Bulletin. New Series},
note = {http://dx.doi.org/10.1090/S0273-0979-2013-01433-2},
number = {1},
pages = {27--52},
title = {How many rational points does a random curve have?},
volume = {51},
}
@article{GouveaReview,
author = {Gouvêa, Fernando Q.},
date = {2013},
journaltitle = {American Mathematical Monthly},
number = {1},
pages = {84--94},
title = {Elliptic curves, modular forms, and their {$L$}-functions [book review]},
volume = {120},
}
@article{LozanoRField,
author = {Lozano-Robledo, Álvaro},
date = {2013},
journaltitle = {Mathematische Annalen},
number = {1},
pages = {279--305},
title = {On the field of definition of {$p$}-torsion points on elliptic curves over the rationals},
volume = {357},
}
@article{LozanoRFormalGroups,
author = {Lozano-Robledo, Álvaro},
date = {2013},
journaltitle = {Pacific Journal of Mathematics},
number = {1},
pages = {145--164},
title = {Formal groups of elliptic curves with potential good supersingular reduction},
volume = {261},
}
@book{anastassiou2015numerical,
author = {Anastassiou, George A and Mezei, Razvan A},
publisher = {Springer},
date = {2015},
title = {Numerical Analysis Using Sage},
}
@misc{cryptoeprint:2015:589,
author = {Leventi-Peetz, A.-M. and Peetz, J.-V.},
date = {2015},
howpublished = {Cryptology ePrint Archive, Report 2015/589},
note = {http://eprint.iacr.org/2015/589},
title = {Generating S-Box Multivariate Quadratic Equation Systems And Estimating Algebraic Attack Resistance Aided By SageMath},
}
@article{fresl2013generalized,
author = {Fresl, Krešimir and Gidak, Petra and Vrančić, Romana},
publisher = {Hrvatski savez građevinskih inženjera},
date = {2013},
journaltitle = {Građevinar},
number = {08},
pages = {707--720},
title = {Generalized minimal nets in form finding of prestressed cable nets},
volume = {65},
}
@book{sanggulee2014calculus,
author = {Beezer, Robert A and Lee, Sang-Gu and Kim, Eung-Ki and Ham, Yoonmee and Kumar, Ajit},
publisher = {Kyung Moon Sa},
date = {2014},
title = {Calculus},
}
@book{hefferonlinearalgebra,
author = {Hefferon, Jim},
publisher = {CC BY-SA 2.5 self-published},
date = {2014},
title = {Linear Algebra (lab manual)},
}
@article{hefferon2016,
author = {Hefferon, Jim and Schueller, Albert},
publisher = {Springer},
date = {2016},
journaltitle = {The Mathematical Intelligencer},
number = {2},
pages = {6--9},
title = {Writing an Open Text},
volume = {38},
}
@book{WagstaffJoyFactoring,
author = {Wagstaff, Jr., Samuel S.},
publisher = {American Mathematical Society, Providence, RI},
date = {2013},
isbn = {978-1-4704-1048-3},
pages = {xiv+293},
series = {Student Mathematical Library},
title = {The joy of factoring},
volume = {68},
}
@article{2015arXiv150904608S,
author = {{Schmidt}, B.},
date = {2015-09},
eprint = {1509.04608},
eprintclass = {math.AG},
eprinttype = {arXiv},
journaltitle = {ArXiv e-prints},
keywords = {Mathematics - Algebraic Geometry,14F05 (Primary),14J30,18E30 (Secondary)},
title = {{Bridgeland Stability on Threefolds - Some Wall Crossings}},
}
@article{dohmen2014closed,
author = {Dohmen, Klaus},
date = {2015},
journaltitle = {Australas. J. Combin.},
number = {2},
pages = {196--201},
title = {Closed-form expansions for the universal edge elimination polynomial},
volume = {63},
}
@article{2014arXiv1409.5156R,
author = {{Rhaly}, Jr, H. C.},
date = {2014-09},
eprint = {1409.5156},
eprintclass = {math.FA},
eprinttype = {arXiv},
journaltitle = {ArXiv e-prints},
keywords = {Mathematics - Functional Analysis,47B20},
title = {{The weighted mean matrix with weight sequence \$w\_n=2n+1\$ is a hyponormal operator on \$$\backslash$ell\^{}2\$}},
}
@article{2015arXiv151007141C,
author = {{Celoria}, D.},
date = {2015-10},
eprint = {1510.07141},
eprintclass = {math.GT},
eprinttype = {arXiv},
journaltitle = {ArXiv e-prints},
keywords = {Mathematics - Geometric Topology},
title = {{A note on Grid Homology in lens spaces: $\mathbb{Z}$ coefficients and computations}},
}
@book{TI2016,
author = {Theobald, Thorsten and Iliman, Sadik},
publisher = {Springer},
date = {2016},
title = {Einführung in die computerorientierte Mathematik mit Sage},
}
@book{polishSageBook,
author = {Giniewicz, Andrzej and Zajączkowska, Katarzyna},
publisher = {GiS},
date = {2015},
title = {Zrozumieć matematykę z pakietem Sage ("Understand mathematics with the Sage package")},
}
@thesis{Ajouz15,
author = {Ajouz, Ali},
institution = {Faculty IV: Science and Technology, Universität Siegen},
language = {eng},
date = {2015},
title = {Hecke operators on Jacobi forms of lattice index and the relation to elliptic modular forms},
type = {phdthesis},
}
@misc{walker2015creating,
author = {Walker, James S},
publisher = {American Mathematical Society, AMS},
date = {2015},
journaltitle = {Notices of the American Mathematical Society},
number = {11},
pages = {1350--1354},
title = {Creating Symmetry: The Artful Mathematics of Wallpaper Patterns by Frank A. Farris (Book Review)},
volume = {62},
}
@thesis{Spi-2015,
author = {Spicer, Simon V.B.},
institution = {University of Washington},
date = {2015},
title = {The Zeros of Elliptic Curve $L$-functions: Analytic Algorithms with Explicit Time Complexity},
type = {phdthesis},
}
@article{2016arXiv160100013G,
author = {{Guliyev}, N. J. and {Ismailov}, V. E.},
date = {2016-12},
eprint = {1601.00013},
eprinttype = {arXiv},
journaltitle = {ArXiv e-prints},
keywords = {Computer Science - Neural and Evolutionary Computing,Computer Science - Information Theory,Mathematics - Numerical Analysis,41A30,92B20},
title = {{A single hidden layer feedforward network with only one neuron in the hidden layer can approximate any univariate function}},
}
@misc{takemoricomputation,
author = {Takemori, Sho},
date = {2014},
title = {On the computation of Siegel modular forms of degree 2 with Sage},
}
@article{2016arXiv160100181C,
author = {{Cohen}, N. and {Pasechnik}, D. V.},
date = {2016-01},
eprint = {1601.00181},
eprintclass = {math.CO},
eprinttype = {arXiv},
journaltitle = {ArXiv e-prints},
keywords = {Mathematics - Combinatorics,Computer Science - Discrete Mathematics,05E30,68-04},
title = {{Implementing Brouwer's database of strongly regular graphs}},
}
@article{bishnoi2015new,
author = {Bishnoi, Anurag and De Bruyn, Bart},
date = {2015},
journaltitle = {arXiv preprint arXiv:1501.04119},
title = {A New Near Octagon and the Suzuki Tower},
}
@book{RiemannHypothesisVeenCraats,
author = {van der Veen, Roland and van de Craats, Jan},
publisher = {MAA},
date = {2015},
title = {The Riemann Hypothesis},
}
@book{watkins2013number,
author = {Watkins, John J},
publisher = {Princeton University Press},
date = {2013},
title = {Number theory: A historical approach},
}
@book{mezei2015introduction,
author = {Mezei, Razvan A},
publisher = {John Wiley \& Sons},
date = {2015},
title = {An Introduction to SAGE Programming: With Applications to SAGE Interacts for Numerical Methods},
}
@article{10.4169/math.mag.89.1.3,
abstract = {In this paper we define ``confused electrician games,'' which generalize ``Lights Out,'' a game popular in mathematical literature. In addition to ``Lights Out,'' many more recent computer game puzzles can be modeled as confused electrician games. We provide examples of this, and explain how to solve such games using the Smith normal form of a matrix. We note that in many cases, this method is very efficient compared to another, more obvious, method.},
author = {TOM EDGAR, JESSICA K. SKLAR},
publisher = {Mathematical Association of America},
date = {2016},
issn = {0025570X, 19300980},
journaltitle = {Mathematics Magazine},
number = {1},
pages = {3--13},
title = {A Confused Electrician Uses Smith Normal Form},
volume = {89},
}
@article{10.4169/math.mag.90.2.126,
abstract = {Lights Out is a game played on a grid of light-up buttons. At the start of the game, the lights are lit in a seemingly random configuration. A button changes states whenever it or one of its neighbors is pressed. The goal is to turn all of the lights out. Light chasing is a simple strategy for winning Lights Out by using a lookup table. In this article we examine how to construct these lookup tables for several variations of the game.},
author = {LEACH, C. DAVID},
publisher = {Mathematical Association of America},
date = {2017},
issn = {0025570X, 19300980},
journaltitle = {Mathematics Magazine},
number = {2},
pages = {126--133},
title = {Chasing the Lights in Lights Out},
volume = {90},
}
@article{Cremona2016,
author = {Cremona, John},
date = {2016},
doi = {10.1007/s10208-016-9306-z},
issn = {1615-3383},
journaltitle = {Foundations of Computational Mathematics},
pages = {1--13},
title = {The L-Functions and Modular Forms Database Project},
}
@article{DBLP:journals/corr/DehayeKKLPT16,
author = {Dehaye, Paul{-}Olivier and Kohlhase, Michael and Konovalov, Alexander and Lelièvre, Samuel and Pfeiffer, Markus and Thiéry, Nicolas M.},
crossref = {CICM16},
date = {2016},
journaltitle = {CoRR},
title = {Interoperability in the OpenDreamKit Project: The Math-in-the-Middle Approach},
volume = {abs/1603.06424},
}
@inproceedings{CICM16,
author = {Kohlhase, Michael and Johansson, Moa and Miller, Bruce and de Moura, Leonardo and Tompa, Frank},
publisher = {Springer},
booktitle = {{Intelligent Computer Mathematics} 2016},
date = {2016},
eventdate = {2016-07-25/2015-07-29},
eventtitle = {Conferences on Intelligent Computer Mathematics},
isbn = {978-3-319-20615-8},
keywords = {conference},
label = {CICM16},
number = {9791},
series = {LNAI},
title = {Intelligent Computer Mathematics},
venue = {Bialystok, Poland},
}
@article{Tabrizi20167,
author = {Tabrizi, Mehdi},
date = {2016},
doi = {http://dx.doi.org/10.1016/j.radphyschem.2016.05.018},
issn = {0969-806X},
journaltitle = {Radiation Physics and Chemistry},
keywords = {Linewidth},
pages = {7--12},
title = {Influence of multiple scattering of relativistic electrons on the linewidth of Parametric X-ray Radiation produced in the extremely Bragg geometry in the absence of photoabsorption},
volume = {127},
}
@book{calculoCientifico2016,
author = {Aceña, Dr. Andrés and Armijos, Dr. Jairo and Llerena, Fis. Mario},
publisher = {Observatorio Astronómico de Quito-Escuela Politécnica Nacional},
date = {2016},
title = {Manual de Cálculo científico en SageMath},
}
@article{KalvodaStarosta2015,
author = {Kalvoda, Tomáš and Starosta, Štěpán},
language = {cze},
publisher = {Jednota českých matematiků a fyziků},
date = {2015},
journaltitle = {Pokroky matematiky, fyziky a astronomie},
number = {4},
pages = {300--313},
title = {Počítáme otevřeně se SageMath},
volume = {60},
}
@thesis{Kertels2016,
author = {Kertels, Fabian},
institution = {Technische Universität Darmstadt},
date = {2016},
title = {Singular weight products on lattices with small discriminant},
type = {Master's Thesis},
}
@article{JGAA-349,
author = {{Bannister}, {Michael} J. and {Devanny}, {William} E. and {Eppstein}, {David} and {Goodrich}, {Michael} T.},
date = {2015},
doi = {10.7155/jgaa.00349},
journaltitle = {Journal of Graph Algorithms and Applications},
number = {2},
pages = {619--656},
title = {The Galois Complexity of Graph Drawing: Why Numerical Solutions are Ubiquitous for Force-Directed, Spectral, and Circle Packing Drawings},
volume = {19},
}
@inproceedings{BanDevEpp-GD-14,
author = {Bannister, Michael J. and Devanny, William E. and Eppstein, David and Goodrich, Michael T.},
location = {Berlin, Heidelberg},
publisher = {Springer-Verlag},
booktitle = {Proceedings of the 22nd International Symposium on Graph Drawing (GD'14)},
date = {2014},
eprint = {1408.1422},
pages = {149--161},
title = {{The Galois complexity of graph drawing}},
}
@inproceedings{7465262,
author = {Buchin, Kevin and Creemers, Daan and Lazzarotto, Andrea and Speckmann, Bettina and Wulms, Jules},
booktitle = {2016 IEEE Pacific Visualization Symposium (PacificVis)},
date = {2016-04},
doi = {10.1109/PACIFICVIS.2016.7465262},
keywords = {data visualisation;geography;greedy algorithms;text analysis;geo word clouds;geographic regions;greedy strategy;spatial relevance;text-based data sets;text-based visualization;Data visualization;Electronic mail;Flickr;Labeling;Shape;Spatial databases;Tag clouds;I.3.3 [Computer Graphics]: Picture/Image Generation},
note = {http://lazza.dk/wp-content/uploads/2016/07/GeoWordClouds2016.pdf},
pages = {144--151},
title = {Geo word clouds},
}
@article{DBLP:journals/corr/AbrahamsenAM17,
author = {Abrahamsen, Mikkel and Adamaszek, Anna and Miltzow, Tillmann},
date = {2017},
journaltitle = {CoRR},
title = {Irrational Guards are Sometimes Needed},
volume = {abs/1701.05475},
}
@article{2017arXiv170310937W,
author = {{Wang}, Q.-R. and {Gu}, Z.-C.},
date = {2017-03},
eprint = {1703.10937},
eprintclass = {cond-mat.str-el},
eprinttype = {arXiv},
journaltitle = {ArXiv e-prints},
keywords = {Condensed Matter - Strongly Correlated Electrons,High Energy Physics - Theory,Mathematical Physics},
title = {{Towards a complete classification of fermionic symmetry protected topological phases in 3D and a general group supercohomology theory}},
}
@article{Gazestani2017,
author = {Gazestani, Vahid H. and Hampton, Marshall and Shaw, Aubie K. and Salavati, Reza and Zimmer, Sara L.},
date = {2017},
doi = {https://doi.org/10.1016/j.ijpara.2017.08.012},
issn = {0020-7519},
journaltitle = {International Journal for Parasitology},
keywords = {Hidden Markov modelling},
title = {Tail characteristics of Trypanosoma brucei mitochondrial transcripts are developmentally altered in a transcript-specific manner},
}
@article{vsamec2018increasing,
author = {Šamec, Elizabeta and Fresl, Krešimir and Baniček, Maja},
publisher = {Hrvatski savez građevinskih inženjera},
date = {2017},
doi = {10.14256/JCE.2132.2017},
journaltitle = {Građevinar},
number = {12.},
pages = {1075--1084},
title = {Increasing efficiency of iterative application of the force density method},
volume = {69},
}
@article{2018arXiv180400208B,
author = {{Beck}, M. and {Leon}, E.},
date = {2018-03},
eprint = {1804.00208},
eprintclass = {math.CO},
eprinttype = {arXiv},
journaltitle = {ArXiv e-prints},
keywords = {Mathematics - Combinatorics,05C31,05A15,05C15,05C21,06A11,52B20},
title = {{h*-inequalities for Chromatic and Flow Polynomials}},
}
@book{garfinkel2017modeling,
author = {Garfinkel, Alan and Shevtsov, Jane and Guo, Yina},
publisher = {Springer},
date = {2017},
title = {Modeling Life: The Mathematics of Biological Systems},
}
@book{taillet2017optique,
author = {Taillet, Richard},
publisher = {De Boeck Superieur},
date = {2017},
title = {Optique géométrique},
}
@article{kapcak2018,
author = {Kapçak, Sinan},
date = {2018},
journaltitle = {The Electronic Journal of Mathematics & Technology},
number = {2},
pages = {292--308},
title = {Discrete Dynamical Systems with SageMath},
volume = {12},
}
@article{2018arXiv180510709C,
author = {{Chan}, S. and {Hanselman}, J. and {Li}, W.},
date = {2018-05},
eprint = {1805.10709},
eprintclass = {math.NT},
eprinttype = {arXiv},
journaltitle = {ArXiv e-prints},
keywords = {Mathematics - Number Theory},
title = {{Ranks, $2$-Selmer groups, and Tamagawa numbers of elliptic curves with $\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/8\mathbb{Z}$-torsion}},
}
@article{2017arXiv170404175A,
author = {{Angella}, D.},
date = {2017-04},
eprint = {1704.04175},
eprintclass = {math.DG},
eprinttype = {arXiv},
journaltitle = {ArXiv e-prints},
keywords = {Mathematics - Differential Geometry,68W30,53A30,32C35,57T15,32Q99},
title = {{SageMath experiments in Differential and Complex Geometry}},
}
@article{10.4169/college.math.j.48.2.90,
abstract = {We visually investigate Viète's method for funding for the roots of the depressed cubic equation using transformations and complex plots from Sage to consider the three cases.},
author = {Edgar, Tom and Meyer, N. Chris},
publisher = {Mathematical Association of America},
date = {2017},
issn = {07468342, 19311346},
journaltitle = {The College Mathematics Journal},
number = {2},
pages = {90--96},
title = {A Visual Validation of Viète's Verification},
volume = {48},
}
@article{Harrington2017,
abstract = {We consider reduction of dimension for nonlinear dynamical systems. We demonstrate that in some cases, one can reduce a nonlinear system of equations into a single equation for one of the state variables, and this can be useful for computing the solution when using a variety of analytical approaches. In the case where this reduction is possible, we employ differential elimination to obtain the reduced system. While analytical, the approach is algorithmic and is implemented in symbolic software such as MAPLE or SageMath. In other cases, the reduction cannot be performed strictly in terms of differential operators, and one obtains integro-differential operators, which may still be useful. In either case, one can use the reduced equation to both approximate solutions for the state variables and perform chaos diagnostics more efficiently than could be done for the original higher-dimensional system, as well as to construct Lyapunov functions which help in the large-time study of the state variables. A number of chaotic and hyperchaotic dynamical systems are used as examples in order to motivate the approach.},
author = {Harrington, Heather A. and Van Gorder, Robert A.},
date = {2017},
doi = {10.1007/s11071-016-3272-5},
issn = {1573-269X},
journaltitle = {Nonlinear Dynamics},
number = {1},
pages = {715--734},
title = {Reduction of dimension for nonlinear dynamical systems},
volume = {88},
}
@article{Roberto2016,
author = {Roberto, Roson},
date = {2016-09},
journaltitle = {University Ca' Foscari of Venice, Dept. of Economics Research Paper Series},
number = {23},
title = {PAMS.py: A GAMS-Like Modeling System Based on Python and SAGE},
}
@book{HarrisPeering2017,
author = {Harris, John and Kohl, Karen and Perry, John},
publisher = {Lulu},
date = {2017-11},
note = {Draft number 13},
title = {Peering into Advanced Mathematics through Sage-colored Glasses},
}
@article{NazariehIdentification2016,
author = {Nazarieh, Maryam and Wiese, Andreas and Will, Thorsten and Hamed, Mohamed and Helms, Volkhard},
date = {2016-07},
journaltitle = {BMC Systems Biology},
title = {Identification of key player genes in gene regulatory networks},
volume = {10},
}
@unpublished{McKayConcreteAlg2018,
author = {McKay, Ben},
date = {2018},
note = {available online at https://github.com/Ben-McKay/concrete-algebra},
title = {Concrete Algebra},
}
@thesis{Ziegler2015,
author = {Ziegler, Konstantin},
institution = {Rheinische Friedrich-Willhelms-Universität Bonn},
location = {Bonn, Germany},
date = {2015-04},
note = {Available at \url{http://hss.ulb.uni-bonn.de/2015/3981/3981.pdf}},
title = {Counting classes of special polynomials},
type = {Dissertation},
}