citations.bib

@article{kohenconstrucciones,
  title={Construcciones de puntos de {H}eegner},
  author={Kohen, Daniel}
}

@article{kim2017indivisibility,
  title={On the indivisibility of derived {K}ato's {E}uler systems and the main conjecture for modular forms},
  author={Kim, Chan-Ho and Kim, Myoungil and Sun, Hae-Sang},
  journal={arXiv preprint arXiv:1709.05780},
  year={2017}
}

@article{portillo2017experimental,
  title={Experimental {E}vidence on a {R}efined {C}onjecture of the {BSD} type},
  author={Portillo-Bobadilla, Francisco X},
  journal={arXiv preprint arXiv:1709.01204},
  year={2017}
}

@article{bruinarithmetic,
  title={Arithmetic {A}spects of {E}xplicit {M}oduli {P}roblems},
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}

@article{kohlhase2017math,
  title={Math {O}bject {I}dentifiers---{T}owards {R}esearch {D}ata in {M}athematics},
  author={Kohlhase, Michael},
  year={2017}
}

@article{barquero2017distribution,
  title={The distribution of {$G$}-{W}eyl {CM} fields and the {C}olmez conjecture},
  author={Barquero-Sanchez, Adrian and Masri, Riad and Thorne, Frank},
  journal={arXiv preprint arXiv:1708.00044},
  year={2017}
}

@article{molin2017computing,
  title={Computing period matrices and the {A}bel-{J}acobi map of superelliptic curves},
  author={Molin, Pascal and Neurohr, Christian},
  journal={arXiv preprint arXiv:1707.07249},
  year={2017}
}

@article{dasgupta2017sylvester,
  title={Sylvester's {P}roblem and {M}ock {H}eegner {P}oints},
  author={Dasgupta, Samit and Voight, John},
  journal={arXiv preprint arXiv:1707.05874},
  year={2017}
}

@article{dummit2017decomposition,
  title={Decomposition {C}onfiguration {T}ypes in {M}inimally {T}amely {R}amified {E}xtensions of $\mathbb{Q}$},
  author={Dummit, David S and Kisilevsky, Hershy},
  journal={arXiv preprint arXiv:1707.02493},
  year={2017}
}

@article{sijsling2017canonical,
  title={Canonical models of arithmetic $(1;\infty)$ curves},
  author={Sijsling, Jeroen},
  journal={arXiv preprint arXiv:1707.01158},
  year={2017}
}

@article{waldschmidtintroduction,
  title={An introduction to the {R}iemann zeta function},
  author={Waldschmidt, Michel}
}

@article{dokchitser20173,
  title={3-torsion and conductor of genus 2 curves},
  author={Dokchitser, Tim and Doris, Christopher},
  journal={arXiv preprint arXiv:1706.06162},
  year={2017}
}

@article{bruin2017𝐿,
  title={On {L}-functions of quadratic $\mathbb{Q}$-curves},
  author={Bruin, Peter and Ferraguti, Andrea},
  journal={Mathematics of Computation},
  year={2017}
}

@article{rambauddense,
  title={Dense families of curves with many points of higher degree and applications to multiplication},
  author={Rambaud, Matthieu}
}
@inproceedings{kohlhase2017software,
  title={Software {C}itations, {I}nformation {S}ystems, and {B}eyond},
  author={Kohlhase, Michael and Sperber, Wolfram},
  booktitle={International Conference on Intelligent Computer Mathematics},
  pages={99--114},
  year={2017},
  organization={Springer}
}

@article{mustydessins,
  title={Dessins d'{E}nfants},
  author={Musty, Michael}
}

@article{liu2017realizability,
  title={The {R}ealizability {P}roblem with {I}nertia {C}onditions},
  author={Liu, Yuan},
  journal={arXiv preprint arXiv:1705.03184},
  year={2017}
}

@article{aygin2017representations,
  title={Representations by sextenary quadratic forms with coefficients $1, 2, 3$ and $6$ and on newforms in $S_3(\Gamma_0(24),\chi)$},
  author={Aygin, Zafer Selcuk},
  journal={arXiv preprint arXiv:1705.01244},
  year={2017}
}

@article{long2017supercongruences,
  title={Supercongruences for rigid hypergeometric {C}alabi-{Y}au threefolds},
  author={Long, Ling and Tu, Fang-Ting and Yui, Noriko and Zudilin, Wadim},
  journal={arXiv preprint arXiv:1705.01663},
  year={2017}
}

@inproceedings{holmstrom2017zeta,
  title={Zeta Types and {T}annakian {S}ymbols as a {M}ethod for {R}epresenting {M}athematical {K}nowledge},
  author={Holmstrom, Andreas and Vik, Torstein},
  booktitle={International Conference on Intelligent Computer Mathematics},
  pages={178--192},
  year={2017},
  organization={Springer}
}

@article{zhu2017spherical,
  title={On spherical designs of some harmonic indices},
  author={Zhu, Yan and Bannai, Eiichi and Bannai, Etsuko and Kim, Kyoung-Tark and Yu, Wei-Hsuan},
  journal={The Electronic Journal of Combinatorics},
  volume={24},
  number={2},
  pages={P2--14},
  year={2017}
}

@article{lapkova2017explicit,
  title={Explicit upper bound for the average number of divisors of irreducible quadratic polynomials},
  author={Lapkova, Kostadinka},
  journal={arXiv preprint arXiv:1704.02498},
  year={2017}
}

@article{petridis2017arithmetic,
  title={Arithmetic statistics of modular symbols},
  author={Petridis, Yiannis N and Risager, Morten S},
  journal={arXiv preprint arXiv:1703.09526},
  year={2017}
}

@article{bordelles2017tme,
  title={The {TME}-{EMT} Project},
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  year={2017}
}

@article{chattopadhyaya2017dyon,
  title={Dyon degeneracies from {M}athieu moonshine},
  author={Chattopadhyaya, Aradhita and David, Justin R},
  journal={arXiv preprint arXiv:1704.00434},
  year={2017}
}

@article{cesnavicius2017manin,
  title={The {M}anin constant in the semistable case},
  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},
  author={Roberts, David P},
  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,
  title={Computing the geometric endomorphism ring of a genus 2 {J}acobian},
  author={Lombardo, Davide},
  journal={arXiv preprint arXiv:1610.09674},
  year={2016}
}

@article{cohen2016dirichlet,
  title={Dirichlet series associated to quartic fields with given cubic resolvent},
  author={Cohen, Henri and Thorne, Frank},
  journal={Research in Number Theory},
  volume={2},
  number={1},
  pages={29},
  year={2016},
  publisher={Springer}
}

@article{jones2016artin,
  title={Artin {L}-functions of small conductor},
  author={Jones, John W and Roberts, David P},
  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,
  title={On the order of vanishing of newforms at cusps},
  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,
  title={Refined dimensions of cusp forms, and equidistribution and bias of signs},
  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},
  author={Jenkins, Robert and McLaughlin, Ken DT-R},
  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,
  title={Characterization of intersecting families of maximum size in {PSL}$(2,q)$},
  author={Long, Ling and Plaza, Rafael and Sin, Peter and Xiang, Qing},
  journal={arXiv preprint arXiv:1608.07304},
  year={2016}
}

@article{chung2016arithmetic,
  title={Arithmetic {C}hern-{S}imons Theory {I}{I}},
  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,
  title={On the ranks of elliptic curves with isogenies},
  author={Daniels, Harris B and Goodwillie, ASA}
}
@article{dalawat2016solvable,
  title={Solvable primitive $ p $-extensions},
  author={Dalawat, Chandan Singh},
  journal={arXiv preprint arXiv:1608.04673},
  year={2016}
}
@phdthesis{garcia2016computational,
  title={Computational aspects of {G}alois representations},
  author={Garc{\'\i}a, Alejandro Arg{\'a}ez},
  year={2016},
  school={University of Warwick}
}
@article{antieau2016brauer,
  title={The {B}rauer group of the moduli stack of elliptic curves},
  author={Antieau, Benjamin and Meier, Lennart},
  journal={arXiv preprint arXiv:1608.00851},
  year={2016}
}
@article{crump2016properties,
  title={Properties of the extended graph permanent},
  author={Crump, Iain},
  journal={arXiv preprint arXiv:1608.01414},
  year={2016}
}
@article{harvey2016computing,
  title={Computing {L}-series of geometrically hyperelliptic curves of genus three},
  author={Harvey, David and Massierer, Maike and Sutherland, Andrew V},
  journal={arXiv preprint arXiv:1605.04708},
  year={2016}
}
@article{checcoli2016explicit,
  title={On the Explicit Torsion Anomalous Conjecture},
  author={Checcoli, Sara and Veneziano, Francesco and Viada, Evelina},
  journal={arXiv preprint arXiv:1605.04801},
  year={2016}
}
@article{gurel2016occurrence,
  title={On the Occurrence of Perfect Squares Among Values of Certain Polynomial Products},
  author={G{\"u}rel, Erhan},
  journal={The American Mathematical Monthly},
  volume={123},
  number={6},
  pages={597--599},
  year={2016},
  publisher={JSTOR}
}
@article{mercuri2016equations,
  title={Equations and Rational Points of the Modular Curves {X}$^+_0(p)$},
  author={Mercuri, Pietro},
  journal={arXiv preprint arXiv:1607.04558},
  year={2016}
}
@article{swinarski2016equations,
  title={Equations of {R}iemann surfaces with automorphisms},
  author={Swinarski, David},
  journal={arXiv preprint arXiv:1607.04778},
  year={2016}
}
@book {MR3100414,
    AUTHOR = {Terras, Audrey},
     TITLE = {Harmonic analysis on symmetric spaces---{E}uclidean space, the
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   EDITION = {Second},
 PUBLISHER = {Springer, New York},
      YEAR = {2013},
     PAGES = {xviii+413},
      ISBN = {978-1-4614-7971-0; 978-1-4614-7972-7},
   MRCLASS = {22E30 (11F72 43-02 43A85)},
  MRNUMBER = {3100414},
MRREVIEWER = {Rudra P. Sarkar},
       DOI = {10.1007/978-1-4614-7972-7},
}
@article{sutherland2012computing,
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@misc{roe2016algebraic,
  title={Algebraic tori and a computational inverse {Galois} problem},
  author={Roe, David},
  url={http://www.pitt.edu/~roed/writings/talks/2016_01_26.pdf},
  year={2016}
}
@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,
  title={Bounds for arithmetic hyperbolic reflection groups in dimension 2},
  author={Linowitz, Benjamin}
}
@article{linowitz2016spectral,
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  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},
  journal={Inventiones mathematicae},
  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,
  title={A database of genus 2 curves over the rational numbers},
  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,
  title={Unconditional class group tabulation of imaginary quadratic fields to $|{\Delta}|<2^{40}$},
  author={Mosunov, A and Jacobson Jr,  M},
  journal={Mathematics of Computation},
  volume={85},
  pages={1983--2009},
  year={2016}
}
@article{rouse2013explicit,
  title={The explicit {Sato}-{Tate} conjecture and densities pertaining to {Lehmer}-type questions},
  author={Rouse, Jeremy and Thorner, Jesse},
  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.},
  note={preprint},
  url={http://guests.mpim-bonn.mpg.de/rachel/ShadowLines.pdf},
  year={2015}
}
@article{kraus2015theoreme,
  title={Sur le th{\'e}or{\`e}me de Fermat sur $\mathbb{Q}(\sqrt{5})$},
  author={Kraus, Alain},
  journal={Annales math{\'e}matiques du Qu{\'e}bec},
  volume={39},
  number={1},
  pages={49--59},
  year={2015},
  publisher={Springer}
}
@article{hulse2016counting,
  title={Counting square discriminants},
  author={Hulse, Thomas A and Kuan, Chan Ieong and K{\i}ral, Eren Mehmet and Lim, Li-Mei},
  journal={Journal of Number Theory},
  volume={162},
  pages={255--274},
  year={2016},
  publisher={Academic Press}
}
@article{schaeffer2015hecke,
  title={Hecke stability and weight 1 modular forms},
  author={Schaeffer, George J},
  journal={Mathematische Zeitschrift},
  volume={281},
  number={1-2},
  pages={159--191},
  year={2015},
  publisher={Springer Berlin Heidelberg}
}
@article{saouter2015still,
  title={A still sharper region where {$\pi(x)-Li(x)$} is positive},
  author={Saouter, Yannick and Trudgian, Timothy and Demichel, Patrick},
  journal={Mathematics of Computation},
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