citations.bib

@article{kohenconstrucciones,
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}

@article{kim2017indivisibility,
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  journal = {arXiv preprint arXiv:1709.05780},
  year = {2017}
}

@article{portillo2017experimental,
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  year = {2017}
}

@article{bruinarithmetic,
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}

@article{kohlhase2017math,
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  year = {2017}
}

@article{barquero2017distribution,
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  year = {2017}
}

@article{molin2017computing,
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  year = {2017}
}

@article{dasgupta2017sylvester,
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  journal = {arXiv preprint arXiv:1707.05874},
  year = {2017}
}

@article{dummit2017decomposition,
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  year = {2017}
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@article{sijsling2017canonical,
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  year = {2017}
}

@article{waldschmidtintroduction,
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@article{dokchitser20173,
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  year = {2017}
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@article{bruin2017𝐿,
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  journal = {Mathematics of Computation},
  year = {2017}
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@article{rambauddense,
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@inproceedings{kohlhase2017software,
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  author = {Kohlhase, Michael and Sperber, Wolfram},
  booktitle = {International Conference on Intelligent Computer Mathematics},
  pages = {99--114},
  year = {2017},
  organization = {Springer}
}

@article{mustydessins,
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@article{liu2017realizability,
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  journal = {arXiv preprint arXiv:1705.03184},
  year = {2017}
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@article{aygin2017representations,
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  journal = {arXiv preprint arXiv:1705.01244},
  year = {2017}
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@article{long2017supercongruences,
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  year = {2017}
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@inproceedings{holmstrom2017zeta,
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  booktitle = {International Conference on Intelligent Computer Mathematics},
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  year = {2017},
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@article{zhu2017spherical,
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@article{lapkova2017explicit,
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  author = {Lapkova, Kostadinka},
  journal = {arXiv preprint arXiv:1704.02498},
  year = {2017}
}

@article{petridis2017arithmetic,
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  journal = {arXiv preprint arXiv:1703.09526},
  year = {2017}
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@article{bordelles2017tme,
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@article{chattopadhyaya2017dyon,
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  author = {Chattopadhyaya, Aradhita and David, Justin R},
  journal = {arXiv preprint arXiv:1704.00434},
  year = {2017}
}

@article{cesnavicius2017manin,
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  author = {Cesnavicius, Kestutis},
  journal = {arXiv preprint arXiv:1703.02951},
  year = {2017}
}

@article{billerey2017multi,
  title = {A multi-{F}rey approach to {F}ermat equations of signature $(r, r, p)$},
  author = {Billerey, Nicolas and Chen, Imin and Dieulefait, Luis and Freitas, Nuno},
  journal = {arXiv preprint arXiv:1703.06530},
  year = {2017}
}

@phdthesis{plaza2016representation,
  title = {Representation theory methods in extremal combinatorics},
  author = {Plaza, Rafael},
  year = {2016},
  school = {University of Delaware}
}

@article{carella2017note,
  title = {Note On {E}lliptic {G}roups of {P}rime {O}rders},
  author = {Carella, NA},
  journal = {arXiv preprint arXiv:1702.06814},
  year = {2017}
}

@article{duncan2017nan,
  title = {O'{N}an moonshine and arithmetic},
  author = {Duncan, John FR and Mertens, Michael H and Ono, Ken},
  journal = {arXiv preprint arXiv:1702.03516},
  year = {2017}
}

@article{ramakrishnan2017number,
  title = {On the number of representations of certain quadratic forms and a formula for the {R}amanujan {T}au function},
  author = {Ramakrishnan, B and Sahu, Brundaban and Singh, Anup Kumar},
  journal = {arXiv preprint arXiv:1702.01249},
  year = {2017}
}

@article{lemos2017serre,
  title = {Serre's {U}niformity {C}onjecture for {E}lliptic {C}urves with {R}ational {C}yclic {I}sogenies},
  author = {Lemos, Pedro},
  journal = {arXiv preprint arXiv:1702.01985},
  year = {2017}
}

@article{poor2016paramodular,
  title = {Paramodular forms of level 8 and weights 10 and 12},
  author = {Poor, Cris and Schmidt, Ralf and Yuen, David},
  journal = {Preprint},
  year = {2016}
}

@article{tsaknias2016topics,
  title = {Topics on modular {G}alois representations modulo prime powers},
  author = {Tsaknias, Panagiotis and Wiese, Gabor},
  journal = {arXiv preprint arXiv:1612.05017},
  year = {2016}
}

@article{lombardo2016reductions,
  title = {Reductions of points on algebraic groups},
  author = {Lombardo, Davide and Perucca, Antonella},
  journal = {arXiv preprint arXiv:1612.02847},
  year = {2016}
}

@article{kuhn2016largest,
  title = {The largest gap between zeros of entire {L}-functions is less than 41.54},
  author = {K{\"u}hn, Patrick and Robles, Nicolas and Zaharescu, Alexandru},
  journal = {Journal of Mathematical Analysis and Applications},
  year = {2016},
  publisher = {Elsevier}
}

@article{poor2016siegel,
  title = {Siegel paramodular forms of weight 2 and squarefree level},
  author = {Poor, Cris and Shurman, Jerry and Yuen, David S},
  journal = {arXiv preprint arXiv:1612.00925},
  year = {2016}
}

@article{roberts2016newforms,
  title = {Newforms with rational coefficients},
  author = {Roberts, David P},
  journal = {arXiv preprint arXiv:1611.06967},
  year = {2016}
}

@article{roberts2016pgl_2,
  title = { {PGL}$_2(\mathbb{F}_l)$ number fields with rational companion forms},
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  journal = {arXiv preprint arXiv:1611.06628},
  year = {2016}
}

@phdthesis{borner2016functions,
  title = {L-functions of curves of genus $\geq 3$},
  author = {B{\"o}rner, Michel},
  year = {2016},
  school = {Universit{\"a}t Ulm}
}

@article{mascot2016companion,
  title = {Companion forms and explicit computation of {PGL2} number fields with very little ramification},
  author = {Mascot, Nicolas},
  journal = {arXiv preprint arXiv:1611.01464},
  year = {2016}
}

@article{lombardo2016computing,
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  author = {Lombardo, Davide},
  journal = {arXiv preprint arXiv:1610.09674},
  year = {2016}
}

@article{cohen2016dirichlet,
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  number = {1},
  pages = {29},
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  publisher = {Springer}
}

@article{jones2016artin,
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  journal = {arXiv preprint arXiv:1610.01228},
  year = {2016}
}

@article{gonzalez2016growth,
  title = {Growth of torsion groups of elliptic curves upon base change},
  author = {Gonz{\'a}lez-Jim{\'e}nez, Enrique and Najman, Filip},
  journal = {arXiv preprint arXiv:1609.02515},
  year = {2016}
}

@article{corbett2016order,
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  author = {Corbett, Andrew and Saha, Abhishek},
  journal = {arXiv preprint arXiv:1609.08939},
  year = {2016}
}

@article{dujella2016diophantine,
  title = {Diophantine $m$-tuples in finite fields and fields and modular forms},
  author = {Dujella, Andrej and Kazalicki, Matija},
  journal = {arXiv preprint arXiv:1609.09356},
  year = {2016}
}

@article{li2016potentially,
  title = {Potentially {GL}$_2$-type {Galois} representations associated to noncongruence modular forms},
  author = {Li, Wen-Ching Winnie and Liu, Tong and Long, Ling},
  journal = {arXiv preprint arXiv:1609.06414},
  year = {2016}
}

@article{martin2016refined,
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  author = {Martin, Kimball},
  journal = {arXiv preprint arXiv:1609.05386},
  year = {2016}
}

@article{jenkins2016dynamic,
  title = {Dynamic behavior of the roots of the {T}aylor polynomials of the {R}iemann xi function with growing degree},
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  journal = {arXiv preprint arXiv:1609.05965},
  year = {2016}
}

@article{savala2016computing,
  title = {Computing spectral data for {M}aass cusp forms using resonance},
  author = {Savala, Paul},
  year = {2016},
  publisher = {University of Iowa}
}

@article{long2016characterization,
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  author = {Long, Ling and Plaza, Rafael and Sin, Peter and Xiang, Qing},
  journal = {arXiv preprint arXiv:1608.07304},
  year = {2016}
}

@article{chung2016arithmetic,
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  author = {Chung, Hee-Joong and Kim, Dohyeong and Kim, Minhyong and Park, Jeehoon and Yoo, Hwajong},
  journal = {arXiv preprint arXiv:1609.03012},
  year = {2016}
}

@article{viada2016explicit,
  title = {Explicit height bounds and the explicit {M}ordell-{L}ang {C}onjecture},
  author = {Viada, Evelina},
  journal = {arXiv preprint arXiv:1609.04607},
  year = {2016}
}

@article{danielsranks,
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@article{dalawat2016solvable,
  title = {Solvable primitive $ p $-extensions},
  author = {Dalawat, Chandan Singh},
  journal = {arXiv preprint arXiv:1608.04673},
  year = {2016}
}

@phdthesis{garcia2016computational,
  title = {Computational aspects of {G}alois representations},
  author = {Garc{\'\i}a, Alejandro Arg{\'a}ez},
  year = {2016},
  school = {University of Warwick}
}

@article{antieau2016brauer,
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  author = {Antieau, Benjamin and Meier, Lennart},
  journal = {arXiv preprint arXiv:1608.00851},
  year = {2016}
}

@article{crump2016properties,
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  year = {2016}
}

@article{harvey2016computing,
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  year = {2016}
}

@article{checcoli2016explicit,
  title = {On the Explicit Torsion Anomalous Conjecture},
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  year = {2016}
}

@article{gurel2016occurrence,
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  year = {2016},
  publisher = {JSTOR}
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@article{mercuri2016equations,
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  year = {2016}
}

@article{swinarski2016equations,
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@article{sutherland2012computing,
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@misc{roe2016algebraic,
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}

@article{横山俊一2013統合システム,
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@misc{lmfdb2016functions,
  title = {The {L}-functions and Modular Forms Database (2016)},
  author = {LMFDB Collaboration and others},
  url = {http://lmfdb.org},
  year = {2016}
}

@article{dehaye2016interoperability,
  title = {Interoperability in the OpenDreamKit Project: The Math-in-the-Middle Approach},
  author = {Dehaye, Paul-Olivier and Kohlhase, Michael and Konovalov, Alexander and Leli{\`e}vre, Samuel and Pfeiffer, Markus and Thi{\'e}ry, Nicolas M},
  journal = {arXiv preprint arXiv:1603.06424},
  year = {2016}
}

@misc{minemodular,
  title = {Modular forms and applications in number theory},
  author = {Mine, Alex},
  url = {http://math.uchicago.edu/~may/REUDOCS/Mine.pdf}
}

@article{linowitzbounds,
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}

@article{linowitz2016spectral,
  title = {The spectral geometry of arithmetic hyperbolic 3-manifolds},
  author = {Linowitz, Benjamin},
  url = {http://www-personal.umich.edu/~linowitz/papers/spectralnotes.pdf},
  year = {2016}
}

@article{pastor2016regularity,
  title = {On the regularity of fractional integrals of modular forms},
  author = {Pastor, Carlos},
  journal = {arXiv preprint arXiv:1603.06491},
  year = {2016}
}

@article{patrikis2015deformations,
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  author = {Patrikis, Stefan},
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  pages = {1--68},
  year = {2015},
  publisher = {Springer}
}

@article{johnson2015fourier,
  title = {Fourier coefficients for twists of {Siegel} paramodular forms (expanded version)},
  author = {Johnson-Leung, Jennifer and Roberts, Brooks},
  journal = {arXiv preprint arXiv:1505.05463},
  year = {2015}
}

@article{cahn2015powers,
  title = {Powers in orbits of rational functions: cases of an arithmetic dynamical Mordell-Lang conjecture},
  author = {Cahn, Jordan and Jones, Rafe and Spear, Jacob},
  journal = {arXiv preprint arXiv:1512.03085},
  year = {2015}
}

@article{klemm2015direct,
  title = {Direct Integration for Mirror Curves of Genus Two and an Almost Meromorphic {Siegel} Modular Form},
  author = {Klemm, Albrecht and Poretschkin, Maximilian and Schimannek, Thorsten and Westerholt-Raum, Martin},
  journal = {arXiv preprint arXiv:1502.00557},
  year = {2015}
}

@phdthesis{mertens2014mock,
  title = {Mock modular forms and class numbers of quadratic forms},
  author = {Mertens, Michael Helmut},
  year = {2014},
  school = {Universit{\"a}t zu K{\"o}ln}
}

@article{nelson2016quantum,
  title = {Quantum variance on quaternion algebras, {I}},
  author = {Nelson, Paul D},
  journal = {arXiv preprint arXiv:1601.02526},
  year = {2016}
}

@article{grenie2015zeros,
  title = {Zeros of {Dedekind} zeta functions under {GRH}},
  author = {Greni{\'e}, Lo{\"\i}c and Molteni, Giuseppe},
  journal = {Mathematics of Computation},
  volume = {85},
  pages = {1503--1522},
  year = {2015}
}

@article{ryan2016computing,
  title = {Computing {Jacobi} Forms},
  author = {Ryan, Nathan C and Sirolli, Nicol{\'a}s and Skoruppa, Nils-Peter and Tornar{\'\i}a, Gonzalo},
  journal = {arXiv preprint arXiv:1602.07021},
  year = {2016}
}

@article{fite2015fields,
  title = {Fields of definition of elliptic $k$-curves and the realizability of all genus 2 {Sato}-{Tate} groups over a number field},
  author = {Fit{\'e}, Francesc and Guitart, Xavier},
  journal = {arXiv preprint arXiv:1511.02322},
  year = {2015}
}

@article{sairaiji2016class,
  title = {On the class numbers of the fields of the $p^n$-torsion points of elliptic curves over $\mathbb{Q}$},
  author = {Sairaiji, Fumio and Yamauchi, Takuya},
  journal = {arXiv preprint arXiv:1603.01296},
  year = {2016}
}

@article{bartel2016torsion,
  title = {Torsion homology and regulators of isospectral manifolds},
  author = {Bartel, Alex and Page, Aurel},
  journal = {arXiv preprint arXiv:1601.06821},
  year = {2016}
}

@article{cooper2016beyond,
  title = {Beyond the excised ensemble: modelling elliptic curve {L}-functions with random matrices},
  author = {Cooper, Ian A and Morris, Patrick W and Snaith, Nina C},
  journal = {Journal of Physics A: Mathematical and Theoretical},
  volume = {49},
  number = {7},
  pages = {075202},
  year = {2016},
  publisher = {IOP Publishing}
}

@article{bertin2016mahler,
  title = {On the Mahler measure of hyperelliptic families},
  author = {Bertin, Marie Jos{\'e} and Zudilin, Wadim},
  journal = {arXiv preprint arXiv:1601.07583},
  year = {2016}
}

@article{ramakrishnan2016representations,
  title = {On the representations of a positive integer by certain classes of quadratic forms in eight variables},
  author = {Ramakrishnan, B and Sahu, Brundaban and Singh, Anup Kumar},
  journal = {arXiv preprint arXiv:1607.04764},
  year = {2016}
}

@article{ramakrishnan2015number,
  title = {On the number of representations of certain quadratic forms in $20$ and $24$ variables},
  author = {Ramakrishnan, B and Sahu, Brundaban},
  journal = {Functiones et Approximatio Commentarii Mathematici},
  note = {to appear}
}

@article{balakrishnan2016databases,
  title = {Databases of elliptic curves ordered by height and distributions of Selmer groups and ranks},
  author = {Balakrishnan, Jennifer S and Ho, Wei and Kaplan, Nathan and Spicer, Simon and Stein, William and Weigandt, James},
  journal = {arXiv preprint arXiv:1602.01894},
  year = {2016}
}

@article{booker2016database,
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  author = {Booker, Andrew R and Sijsling, Jeroen and Sutherland, Andrew V and Voight, John and Yasaki, Dan},
  journal = {arXiv preprint arXiv:1602.03715},
  year = {2016}
}

@article{jones2016mixed,
  title = {Mixed degree number field computations},
  author = {Jones, John W and Roberts, David P},
  journal = {arXiv preprint arXiv:1602.09119},
  year = {2016}
}

@article{koutsianas2015computing,
  title = {Computing all elliptic curves over an arbitrary number field with prescribed primes of bad reduction},
  author = {Koutsianas, Angelos},
  journal = {arXiv preprint arXiv:1511.05108},
  year = {2015}
}

@article{mosunov2015unconditional,
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@article{rouse2013explicit,
  title = {The explicit {Sato}-{Tate} conjecture and densities pertaining to {Lehmer}-type questions},
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  journal = {Transactions of the AMS},
  note = {to appear},
  year = {2016}
}

@article{balakrishnan2015shadow,
  title = {Shadow lines in the arithmetic of elliptic curves},
  author = {Balakrishnan, J. S. and {\c{C}}iperiani, M. and Lang, J. and Mirza, B. and Newton, R.},
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