The following items cite the LMFDB. This list was last updated on 26 October 2017. Please report any omissions via email to the LMFDB mailing list.
[1] | Samuele Anni. A local–global principle for isogenies of prime degree over number fields. Journal of the London Mathematical Society, 89(3):745–761, 2014. [ bib ] |
[2] | Benjamin Antieau and Lennart Meier. The Brauer group of the moduli stack of elliptic curves. arXiv preprint arXiv:1608.00851, 2016. [ bib ] |
[3] | Zafer Selcuk Aygin. Representations by sextenary quadratic forms with coefficients 1, 2, 3 and 6 and on newforms in s_{3}(γ_{0}(24),χ). arXiv preprint arXiv:1705.01244, 2017. [ bib ] |
[4] | Yuri Bachilov. On statistics of the Riemann zeros differences. arXiv preprint arXiv:1402.0865, 2014. [ bib ] |
[5] | Michael Baker. Elliptic curves over finite fields and their l-torsion Galois representations. M.s., 2015. [ bib ] |
[6] | J. S. Balakrishnan, M. Çiperiani, J. Lang, B. Mirza, and R. Newton. Shadow lines in the arithmetic of elliptic curves. 2015. preprint. [ bib | .pdf ] |
[7] | Jennifer S Balakrishnan. Explicit p-adic methods for elliptic and hyperelliptic curves. Advances on Superelliptic Curves and Their Applications, 41:260, 2015. [ bib ] |
[8] | Jennifer S Balakrishnan, Wei Ho, Nathan Kaplan, Simon Spicer, William Stein, and James Weigandt. Databases of elliptic curves ordered by height and distributions of selmer groups and ranks. arXiv preprint arXiv:1602.01894, 2016. [ bib ] |
[9] | Barinder S Banwait. On some local to global phenomena for abelian varieties. PhD thesis, University of Warwick, 2013. [ bib ] |
[10] | Adrian Barquero-Sanchez, Riad Masri, and Frank Thorne. The distribution of G-Weyl CM fields and the Colmez conjecture. arXiv preprint arXiv:1708.00044, 2017. [ bib ] |
[11] | Alex Bartel and Aurel Page. Torsion homology and regulators of isospectral manifolds. arXiv preprint arXiv:1601.06821, 2016. [ bib ] |
[12] | Marie José Bertin and Wadim Zudilin. On the mahler measure of hyperelliptic families. arXiv preprint arXiv:1601.07583, 2016. [ bib ] |
[13] | Nicolas Billerey. On some remarkable congruences between two elliptic curves, 2015. preprint. [ bib ] |
[14] | Nicolas Billerey, Imin Chen, Luis Dieulefait, and Nuno Freitas. A multi-Frey approach to Fermat equations of signature (r, r, p). arXiv preprint arXiv:1703.06530, 2017. [ bib ] |
[15] | Andrew R Booker, Jeroen Sijsling, Andrew V Sutherland, John Voight, and Dan Yasaki. A database of genus 2 curves over the rational numbers. arXiv preprint arXiv:1602.03715, 2016. [ bib ] |
[16] | Olivier Bordelles, Pierre Dusart, Pieter Moree, P Akhilesh, and Olivier Ramaré. The TME-EMT project. 2017. [ bib ] |
[17] | Michel Börner. L-functions of curves of genus ≥3. PhD thesis, Universität Ulm, 2016. [ bib ] |
[18] | Jim Brown, Robert Cass, Rodney Keaton, Salvatore Parenti, and Daniel Shankman. Degree 14 extensions of Q_{7}. International Journal of Pure and Applied Mathematics, 100(2):337–345, 2015. [ bib ] |
[19] | Jim Brown, Alfeen Hasmani, Lindsey Hiltner, Angela Kraft, Daniel Scofield, Kirsti Wash, et al. Classifying extensions of the field of formal laurent series over F_{p}. Rocky Mountain Journal of Mathematics, 45(1):115–130, 2015. [ bib ] |
[20] | Nils Bruin, Kiran Kedlaya, Samir Siksek, and John Voight. Arithmetic Aspects of Explicit Moduli Problems. [ bib ] |
[21] | Peter Bruin and Andrea Ferraguti. On L-functions of quadratic Q-curves. Mathematics of Computation, 2017. [ bib ] |
[22] | François Brunault and Masataka Chida. Regulators for Rankin-Selberg products of modular forms. Annales mathématiques du Québec, pages 1–29, 2016. [ bib ] |
[23] | Jordan Cahn, Rafe Jones, and Jacob Spear. Powers in orbits of rational functions: cases of an arithmetic dynamical mordell-lang conjecture. arXiv preprint arXiv:1512.03085, 2015. [ bib ] |
[24] | NA Carella. Note on Elliptic Groups of Prime Orders. arXiv preprint arXiv:1702.06814, 2017. [ bib ] |
[25] | Robert Cass, Salvatore Parenti, and Daniel Shankman. Tetrakaidecic extensions of Q_{p}, 2013. [ bib | .pdf ] |
[26] | Kestutis Cesnavicius. The Manin constant in the semistable case. arXiv preprint arXiv:1703.02951, 2017. [ bib ] |
[27] | Aradhita Chattopadhyaya and Justin R David. Dyon degeneracies from Mathieu moonshine. arXiv preprint arXiv:1704.00434, 2017. [ bib ] |
[28] | Sara Checcoli, Francesco Veneziano, and Evelina Viada. On the explicit torsion anomalous conjecture. arXiv preprint arXiv:1605.04801, 2016. [ bib ] |
[29] | Ajai Choudhry. Sextuples of integers whose sums in pairs are squares. International Journal of Number Theory, 11(02):543–555, 2015. [ bib ] |
[30] | Hee-Joong Chung, Dohyeong Kim, Minhyong Kim, Jeehoon Park, and Hwajong Yoo. Arithmetic Chern-Simons theory II. arXiv preprint arXiv:1609.03012, 2016. [ bib ] |
[31] | Henri Cohen. Computational number theory in relation with L-functions. [ bib | .pdf ] |
[32] | Henri Cohen and Frank Thorne. Dirichlet series associated to quartic fields with given cubic resolvent. Research in Number Theory, 2(1):29, 2016. [ bib ] |
[33] | LMFDB Collaboration et al. The L-functions and modular forms database (2016), 2016. [ bib | http ] |
[34] | Brian Conrey. Riemann's hypothesis. In Colloquium De Giorgi 2013 and 2014, pages 109–117. Springer, 2015. [ bib ] |
[35] | Ian A Cooper, Patrick W Morris, and Nina C Snaith. Beyond the excised ensemble: modelling elliptic curve L-functions with random matrices. Journal of Physics A: Mathematical and Theoretical, 49(7):075202, 2016. [ bib ] |
[36] | Andrew Corbett and Abhishek Saha. On the order of vanishing of newforms at cusps. arXiv preprint arXiv:1609.08939, 2016. [ bib ] |
[37] | Iain Crump. Properties of the extended graph permanent. arXiv preprint arXiv:1608.01414, 2016. [ bib ] |
[38] | Chandan Singh Dalawat. Solvable primitive p -extensions. arXiv preprint arXiv:1608.04673, 2016. [ bib ] |
[39] | Harris B Daniels and ASA Goodwillie. On the ranks of elliptic curves with isogenies. [ bib ] |
[40] | Harris B Daniels, Alvaro Lozano-Robledo, Filip Najman, and Andrew V Sutherland. Torsion subgroups of rational elliptic curves over the compositum of all cubic fields. arXiv preprint arXiv:1509.00528, 2015. [ bib ] |
[41] | Samit Dasgupta and John Voight. Sylvester's Problem and Mock Heegner Points. arXiv preprint arXiv:1707.05874, 2017. [ bib ] |
[42] | Paul-Olivier Dehaye, Michael Kohlhase, Alexander Konovalov, Samuel Lelièvre, Markus Pfeiffer, and Nicolas M Thiéry. Interoperability in the opendreamkit project: The math-in-the-middle approach. arXiv preprint arXiv:1603.06424, 2016. [ bib ] |
[43] | Alyson Deines, Jenny G Fuselier, Ling Long, Holly Swisher, and Fang-Ting Tu. Generalized Legendre curves and quaternionic multiplication. Journal of Number Theory, 161:175–203, 2016. [ bib ] |
[44] | Alyson Laurene Deines. Shimura Degrees for Elliptic Curves over Number Fields. PhD thesis, 2014. [ bib ] |
[45] | Tim Dokchitser and Christopher Doris. 3-torsion and conductor of genus 2 curves. arXiv preprint arXiv:1706.06162, 2017. [ bib ] |
[46] | Steve Donnelly, Paul E Gunnells, Ariah Klages-Mundt, and Dan Yasaki. A table of elliptic curves over the cubic field of discriminant–23. Experimental Mathematics, 24(4):375–390, 2015. [ bib ] |
[47] | Andrej Dujella and Matija Kazalicki. Diophantine m-tuples in finite fields and fields and modular forms. arXiv preprint arXiv:1609.09356, 2016. [ bib ] |
[48] | Neil Dummigan. A simple trace formula for algebraic modular forms. Experimental Mathematics, 22(2):123–131, 2013. [ bib ] |
[49] | David S Dummit and Hershy Kisilevsky. Decomposition Configuration Types in Minimally Tamely Ramified Extensions of Q. arXiv preprint arXiv:1707.02493, 2017. [ bib ] |
[50] | John FR Duncan, Michael H Mertens, and Ken Ono. O'Nan moonshine and arithmetic. arXiv preprint arXiv:1702.03516, 2017. [ bib ] |
[51] | David W Farmer and Sally Koutsoliotas. The second dirichlet coefficient starts out negative. The Ramanujan Journal, pages 1–9, 2015. [ bib ] |
[52] | David W Farmer, Sally Koutsoliotas, and Stefan Lemurell. Maass forms on GL(3) and GL(4). International mathematics research notices, 2014(22):6276–6301, 2014. [ bib ] |
[53] | David W Farmer, Sally Koutsoliotas, and Stefan Lemurell. Varieties via their L-functions. arXiv preprint arXiv:1502.00850, 2015. [ bib ] |
[54] | Francesc Fité and Xavier Guitart. Fields of definition of elliptic k-curves and the realizability of all genus 2 Sato-Tate groups over a number field. arXiv preprint arXiv:1511.02322, 2015. [ bib ] |
[55] | Francesc Fité, Kiran S Kedlaya, and Andrew V Sutherland. Sato-Tate groups of some weight 3 motives. Contemporary Mathematics, 663:57–102, 2016. [ bib ] |
[56] | Alejandro Argáez García. Computational aspects of Galois representations. PhD thesis, University of Warwick, 2016. [ bib ] |
[57] | Alexandru Ghitza, Nathan C Ryan, and David Sulon. Computations of vector-valued Siegel modular forms. Journal of Number Theory, 133(11):3921–3940, 2013. [ bib ] |
[58] | Enrique González-Jiménez and Filip Najman. Growth of torsion groups of elliptic curves upon base change. arXiv preprint arXiv:1609.02515, 2016. [ bib ] |
[59] | Loïc Grenié and Giuseppe Molteni. Zeros of Dedekind zeta functions under GRH. Mathematics of Computation, 85:1503–1522, 2015. [ bib ] |
[60] | Xavier Guitart, Marc Masdeu, and Mehmet Haluk Sengün. Uniformization of modular elliptic curves via p-adic periods. Journal of Algebra, 445:458–502, 2016. [ bib ] |
[61] | Erhan Gürel. On the occurrence of perfect squares among values of certain polynomial products. The American Mathematical Monthly, 123(6):597–599, 2016. [ bib ] |
[62] | Katherine Elizabeth Harris. Random matrix theory and the attraction of zeros of L-functions from the central point. Honors, 2015. [ bib ] |
[63] | David Harvey, Maike Massierer, and Andrew V Sutherland. Computing L-series of geometrically hyperelliptic curves of genus three. arXiv preprint arXiv:1605.04708, 2016. [ bib ] |
[64] | Junhua He. On a conjecture concerning integral real roots of certain cubic polynomials. Linear Algebra and its Applications, 446:265–268, 2014. [ bib ] |
[65] | Andreas Holmstrom and Torstein Vik. Zeta types and Tannakian Symbols as a Method for Representing Mathematical Knowledge. In International Conference on Intelligent Computer Mathematics, pages 178–192. Springer, 2017. [ bib ] |
[66] | Thomas A Hulse, Chan Ieong Kuan, Eren Mehmet Kiral, and Li-Mei Lim. Counting square discriminants. Journal of Number Theory, 162:255–274, 2016. [ bib ] |
[67] | Robert Jenkins and Ken DT-R McLaughlin. Dynamic behavior of the roots of the Taylor polynomials of the Riemann xi function with growing degree. arXiv preprint arXiv:1609.05965, 2016. [ bib ] |
[68] | Jennifer Johnson-Leung and Brooks Roberts. Fourier coefficients for twists of Siegel paramodular forms (expanded version). arXiv preprint arXiv:1505.05463, 2015. [ bib ] |
[69] | John Jones and David Roberts. The tame-wild principle for discriminant relations for number fields. Algebra & Number Theory, 8(3):609–645, 2014. [ bib ] |
[70] | John W Jones. Minimal solvable nonic fields. LMS Journal of Computation and Mathematics, 16:130–138, 2013. [ bib ] |
[71] | John W Jones and David P Roberts. Artin L-functions of small conductor. arXiv preprint arXiv:1610.01228, 2016. [ bib ] |
[72] | John W Jones and David P Roberts. Mixed degree number field computations. arXiv preprint arXiv:1602.09119, 2016. [ bib ] |
[73] | Anatole Katok, Svetlana Katok, and Federico Rodriguez Hertz. The Fried average entropy and slow entropy for actions of higher rank abelian groups. Geometric and Functional Analysis, 24(4):1204–1228, 2014. [ bib ] |
[74] | Chan-Ho Kim, Myoungil Kim, and Hae-Sang Sun. On the indivisibility of derived Kato's Euler systems and the main conjecture for modular forms. arXiv preprint arXiv:1709.05780, 2017. [ bib ] |
[75] | Albrecht Klemm, Maximilian Poretschkin, Thorsten Schimannek, and Martin Westerholt-Raum. Direct integration for mirror curves of genus two and an almost meromorphic Siegel modular form. arXiv preprint arXiv:1502.00557, 2015. [ bib ] |
[76] | Daniel Kohen. Construcciones de puntos de Heegner. [ bib ] |
[77] | Michael Kohlhase. Math Object Identifiers—Towards Research Data in Mathematics. 2017. [ bib ] |
[78] | Michael Kohlhase and Wolfram Sperber. Software Citations, Information Systems, and Beyond. In International Conference on Intelligent Computer Mathematics, pages 99–114. Springer, 2017. [ bib ] |
[79] | Angelos Koutsianas. Computing all elliptic curves over an arbitrary number field with prescribed primes of bad reduction. arXiv preprint arXiv:1511.05108, 2015. [ bib ] |
[80] | Alain Kraus. Sur le théorème de fermat sur Q(√(5)). Annales mathématiques du Québec, 39(1):49–59, 2015. [ bib ] |
[81] | Patrick Kühn, Nicolas Robles, and Alexandru Zaharescu. The largest gap between zeros of entire L-functions is less than 41.54. Journal of Mathematical Analysis and Applications, 2016. [ bib ] |
[82] | Abhinav Kumar and Ronen E Mukamel. Algebraic models and arithmetic geometry of Teichmüller curves in genus two. arXiv preprint arXiv:1406.7057, 2014. [ bib ] |
[83] | Kostadinka Lapkova. Explicit upper bound for the average number of divisors of irreducible quadratic polynomials. arXiv preprint arXiv:1704.02498, 2017. [ bib ] |
[84] | Pedro Lemos. Serre's Uniformity Conjecture for Elliptic Curves with Rational Cyclic Isogenies. arXiv preprint arXiv:1702.01985, 2017. [ bib ] |
[85] | Wen-Ching Winnie Li, Tong Liu, and Ling Long. Potentially GL_{2}-type Galois representations associated to noncongruence modular forms. arXiv preprint arXiv:1609.06414, 2016. [ bib ] |
[86] | Benjamin Linowitz. Bounds for arithmetic hyperbolic reflection groups in dimension 2. [ bib ] |
[87] | Benjamin Linowitz. The spectral geometry of arithmetic hyperbolic 3-manifolds. 2016. [ bib | .pdf ] |
[88] | Benjamin Linowitz, Matthew Satriano, and Roope Vehkalahti. A noncommutative analogue of the Odlyzko bounds and bounds on performance for space-time lattice codes. Information Theory, IEEE Transactions on, 61(4):1971–1984, 2015. [ bib ] |
[89] | Benjamin Linowitz and John Voight. Small isospectral and nonisometric orbifolds of dimension 2 and 3. Mathematische Zeitschrift, 281(1-2):523–569, 2015. [ bib ] |
[90] | Yuan Liu. The Realizability Problem with Inertia Conditions. arXiv preprint arXiv:1705.03184, 2017. [ bib ] |
[91] | Davide Lombardo. Computing the geometric endomorphism ring of a genus 2 Jacobian. arXiv preprint arXiv:1610.09674, 2016. [ bib ] |
[92] | Davide Lombardo and Antonella Perucca. Reductions of points on algebraic groups. arXiv preprint arXiv:1612.02847, 2016. [ bib ] |
[93] | Ling Long, Rafael Plaza, Peter Sin, and Qing Xiang. Characterization of intersecting families of maximum size in PSL(2,q). arXiv preprint arXiv:1608.07304, 2016. [ bib ] |
[94] | Ling Long, Fang-Ting Tu, Noriko Yui, and Wadim Zudilin. Supercongruences for rigid hypergeometric Calabi-Yau threefolds. arXiv preprint arXiv:1705.01663, 2017. [ bib ] |
[95] | Kimball Martin. Refined dimensions of cusp forms, and equidistribution and bias of signs. arXiv preprint arXiv:1609.05386, 2016. [ bib ] |
[96] | Nicolas Mascot. Companion forms and explicit computation of PGL2 number fields with very little ramification. arXiv preprint arXiv:1611.01464, 2016. [ bib ] |
[97] | Pietro Mercuri. Equations and rational points of the modular curves X^{+}_{0}(p). arXiv preprint arXiv:1607.04558, 2016. [ bib ] |
[98] | Michael H Mertens. Eichler-Selberg type identities for mixed mock modular forms. arXiv preprint arXiv:1404.5491, 2014. [ bib ] |
[99] | Michael Helmut Mertens. Mock modular forms and class numbers of quadratic forms. PhD thesis, Universität zu Köln, 2014. [ bib ] |
[100] | Alex Mine. Modular forms and applications in number theory. [ bib | .pdf ] |
[101] | Pascal Molin and Christian Neurohr. Computing period matrices and the Abel-Jacobi map of superelliptic curves. arXiv preprint arXiv:1707.07249, 2017. [ bib ] |
[102] | A Mosunov and M Jacobson Jr. Unconditional class group tabulation of imaginary quadratic fields to |Δ|<2^{40}. Mathematics of Computation, 85:1983–2009, 2016. [ bib ] |
[103] | Michael Musty. Dessins d'Enfants. [ bib ] |
[104] | Paul D Nelson. Quantum variance on quaternion algebras, I. arXiv preprint arXiv:1601.02526, 2016. [ bib ] |
[105] | Carlos Pastor. On the regularity of fractional integrals of modular forms. arXiv preprint arXiv:1603.06491, 2016. [ bib ] |
[106] | Stefan Patrikis. Deformations of Galois representations and exceptional monodromy. Inventiones mathematicae, pages 1–68, 2015. [ bib ] |
[107] | Yiannis N Petridis and Morten S Risager. Arithmetic statistics of modular symbols. arXiv preprint arXiv:1703.09526, 2017. [ bib ] |
[108] | David Platt. Computing π(x) analytically. Mathematics of Computation, 84(293):1521–1535, 2015. [ bib ] |
[109] | Rafael Plaza. Representation theory methods in extremal combinatorics. PhD thesis, University of Delaware, 2016. [ bib ] |
[110] | Simon Plouffe. On the values of the functions zeta and gamma. arXiv preprint arXiv:1310.7195, 2013. [ bib ] |
[111] | Cris Poor, Ralf Schmidt, and David Yuen. Paramodular forms of level 8 and weights 10 and 12. Preprint, 2016. [ bib ] |
[112] | Cris Poor, Jerry Shurman, and David S Yuen. Siegel paramodular forms of weight 2 and squarefree level. arXiv preprint arXiv:1612.00925, 2016. [ bib ] |
[113] | Francisco X Portillo-Bobadilla. Experimental Evidence on a Refined Conjecture of the BSD type. arXiv preprint arXiv:1709.01204, 2017. [ bib ] |
[114] | Alexander D Rahm and Mehmet Haluk Sengün. On level one cuspidal Bianchi modular forms. LMS Journal of Computation and Mathematics, 16:187–199, 2013. [ bib ] |
[115] | B Ramakrishnan and Brundaban Sahu. On the number of representations of certain quadratic forms in 20 and 24 variables. Functiones et Approximatio Commentarii Mathematici. to appear. [ bib ] |
[116] | B Ramakrishnan and Brundaban Sahu. Evaluation of the convolution sums ∑_{l+15m= n}σ(l)σ(m) and ∑_{3l+ 5m= n}σ(l)σ(m) and some applications. International Journal of Number Theory, 9(03):799–809, 2013. [ bib ] |
[117] | B Ramakrishnan and Brundaban Sahu. On the number of representations of an integer by certain quadratic forms in sixteen variables. International Journal of Number Theory, 10(08):1929–1937, 2014. [ bib ] |
[118] | B Ramakrishnan, Brundaban Sahu, and Anup Kumar Singh. On the representations of a positive integer by certain classes of quadratic forms in eight variables. arXiv preprint arXiv:1607.04764, 2016. [ bib ] |
[119] | B Ramakrishnan, Brundaban Sahu, and Anup Kumar Singh. On the number of representations of certain quadratic forms and a formula for the Ramanujan Tau function. arXiv preprint arXiv:1702.01249, 2017. [ bib ] |
[120] | Matthieu Rambaud. Dense families of curves with many points of higher degree and applications to multiplication. [ bib ] |
[121] | David P Roberts. Newforms with rational coefficients. arXiv preprint arXiv:1611.06967, 2016. [ bib ] |
[122] | David P Roberts. PGL_{2}(F_{l}) number fields with rational companion forms. arXiv preprint arXiv:1611.06628, 2016. [ bib ] |
[123] | David Roe. Algebraic tori and a computational inverse Galois problem, 2016. [ bib | .pdf ] |
[124] | Jeremy Rouse and Jesse Thorner. The explicit Sato-Tate conjecture and densities pertaining to Lehmer-type questions. Transactions of the AMS, 2016. to appear. [ bib ] |
[125] | Michael O Rubinstein. Elliptic curves of high rank and the Riemann zeta function on the one line. Experimental Mathematics, 22(4):465–480, 2013. [ bib ] |
[126] | Michael O Rubinstein and Kaiyu Wu. Moments of zeta functions associated to hyperelliptic curves over finite fields. Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, 373(2040):20140307, 2015. [ bib ] |
[127] | Nathan C Ryan, Nicolás Sirolli, Nils-Peter Skoruppa, and Gonzalo Tornaría. Computing Jacobi forms. arXiv preprint arXiv:1602.07021, 2016. [ bib ] |
[128] | Nathan C Ryan, Gonzalo Tornaria, and John Voight. Nonvanishing of twists of-functions attached to Hilbert modular forms. LMS Journal of Computation and Mathematics, 17(A):330–348, 2014. [ bib ] |
[129] | Fumio Sairaiji and Takuya Yamauchi. On the class numbers of the fields of the p^{n}-torsion points of elliptic curves over Q. arXiv preprint arXiv:1603.01296, 2016. [ bib ] |
[130] | Yannick Saouter, Timothy Trudgian, and Patrick Demichel. A still sharper region where π(x)-Li(x) is positive. Mathematics of Computation, 84(295):2433–2446, 2015. [ bib ] |
[131] | Paul Savala. Computing spectral data for Maass cusp forms using resonance. 2016. [ bib ] |
[132] | George J Schaeffer. Hecke stability and weight 1 modular forms. Mathematische Zeitschrift, 281(1-2):159–191, 2015. [ bib ] |
[133] | Min Sha and Igor E Shparlinski. Pseudolinearly dependent points on elliptic curves. arXiv preprint arXiv:1410.1596, 2014. [ bib ] |
[134] | Jeroen Sijsling. Canonical models of arithmetic (1;∞) curves. arXiv preprint arXiv:1707.01158, 2017. [ bib ] |
[135] | Charlene Soh. Explicit methods for the Birch and Swinnerton-Dyer conjecture. Msc. [ bib ] |
[136] | Andrew V Sutherland. Computing the image of Galois. CNTA XII, page 22, 2012. [ bib ] |
[137] | Andrew V Sutherland. Computing images of Galois representations attached to elliptic curves. Forum of Mathematics, Sigma, 4:79 pages, 2016. [ bib ] |
[138] | David Swinarski. Equations of Riemann surfaces with automorphisms. arXiv preprint arXiv:1607.04778, 2016. [ bib ] |
[139] | Audrey Terras. Harmonic analysis on symmetric spaces—Euclidean space, the sphere, and the Poincaré upper half-plane. Springer, New York, second edition, 2013. [ bib | DOI ] |
[140] | Panagiotis Tsaknias and Gabor Wiese. Topics on modular Galois representations modulo prime powers. arXiv preprint arXiv:1612.05017, 2016. [ bib ] |
[141] | Simone Ugolini. Functional graphs of rational maps induced by endomorphisms of ordinary elliptic curves over finite fields of odd characteristic. arXiv preprint arXiv:1509.05365, 2015. [ bib ] |
[142] | Evelina Viada. Explicit height bounds and the explicit Mordell-Lang Conjecture. arXiv preprint arXiv:1609.04607, 2016. [ bib ] |
[143] | Michel Waldschmidt. An introduction to the Riemann zeta function. [ bib ] |
[144] | Florence Walton. The congruent number problem and the Birch and Swinnerton-Dyer conjecture. Mmathphil. [ bib ] |
[145] | Daqing Wan, Liang Xiao, and Jun Zhang. Slopes of eigencurves over boundary disks. arXiv preprint arXiv:1407.0279, 2014. [ bib ] |
[146] | Yan Zhu, Eiichi Bannai, Etsuko Bannai, Kyoung-Tark Kim, and Wei-Hsuan Yu. On spherical designs of some harmonic indices. The Electronic Journal of Combinatorics, 24(2):P2–14, 2017. [ bib ] |
[147] | 横山俊一. 統合システム sage とクラウド型 cas の最新事情. 数理解析研究所講究録, 1843:131–139, 2013. [ bib ] |