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Modular curve
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#	Item
91	The rational group structure of modular Jacobians with applications to torsion points on elliptic curves over number fields Maarten Derickx 1 Algant Add to Reading List Source URL: www.mderickx.nl Language: English - Date: 2014-06-05 08:39:28 Analytic number theory Group theory Niels Henrik Abel Elliptic curve Abelian variety Modular curve Torsion Abstract algebra Algebraic geometry Algebraic curves
92	Roots of Polynomials in Subgroups of F∗p and Applications to Congruences Enrico Bombieri, Jean Bourgain, Sergei Konyagin IAS, Princeton, IAS Princeton, Moscow State University Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2008-11-03 09:49:23 Modular arithmetic Algebraic number theory Quadratic residue Integer factorization algorithms Lenstra elliptic curve factorization Quadratic reciprocity Abstract algebra Mathematics Number theory
93	Powered by Volcanoes: Three New Algorithms Andrew V. Sutherland Massachusetts Institute of Technology May 12, 2009 Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2009-05-14 13:25:48 Graph Connected component Classical modular curve Graph theory Mathematics Graph connectivity
94	RESEARCH SUMMARY Past Research Overview Introduction. For over a hundred years number theory has been motivated by the study of Lseries, as first introduced by P. G. Lejeune Dirichlet [13] in the study of primes in arit Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2012-07-03 12:04:05 Algebraic curves Modular forms Elliptic curve Group theory Artin L-function Algebraic number field Modular elliptic curve Number theory Abelian variety Abstract algebra Mathematics Analytic number theory
95	ARITHMETIC QUOTIENTS OF THE COMPLEX BALL AND A CONJECTURE OF LANG MLADEN DIMITROV AND DINAKAR RAMAKRISHNAN Introduction n be the n-dimensional complex hyperbolic space, repreFor any integer n > 1, let HC Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2014-10-03 19:34:03 Modular forms Algebraic topology Homotopy theory Differential topology Orbifold Congruence subgroup Modular curve Covering space Symbol Abstract algebra Topology Mathematics
96	Mathematical routines for the NIST prime elliptic curves April 05, 2010 Contents Add to Reading List Source URL: www.nsa.gov Language: English - Date: 2010-11-08 09:26:06 Analytic number theory Finite fields Modular forms Elliptic curves Modular arithmetic Prime number Lenstra elliptic curve factorization Hessian form of an elliptic curve Abstract algebra Mathematics Group theory
97	The Ramanujan Constant An Essay on Elliptic Curves, Complex Multiplication and Modular Forms B.J.Green Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2013-08-05 12:58:17 Analytic number theory Algebraic curves Riemann surfaces Elliptic functions Modular forms Elliptic curve Modular curve Genus of a multiplicative sequence Projective space Mathematical analysis Geometry Abstract algebra
98	The average size of the 5-Selmer group of elliptic curves is 6, and the average rank is less than 1 arXiv:1312.7859v1 [math.NT] 30 Dec[removed]Manjul Bhargava and Arul Shankar Add to Reading List Source URL: arxiv.org Language: English - Date: 2013-12-31 01:15:54 Number theory Elliptic curves Analytic number theory Group theory Modular forms Birch and Swinnerton-Dyer conjecture Curve J-invariant Tate–Shafarevich group Mathematics Abstract algebra Mathematical analysis
99	MULTIPLE ELLIPTIC POLYLOGARITHMS FRANCIS BROWN AND ANDREY LEVIN Abstract. We study the de Rham fundamental group of the configuration space E (n) of n+1 marked points on an elliptic curve E, and define multiple elliptic Add to Reading List Source URL: www.ihes.fr Language: English - Date: 2013-04-19 05:08:26 Analytic number theory Theta function Letter Greek alphabet Elliptic curve Symbol Spectral theory of ordinary differential equations Mathematical analysis Elliptic functions Modular forms
100	BMC 2011: EARLY CAREER SESSION (MONDAY) The early career session is an informal session featuring talks by PhD students and other early career researchers. Talks will be in Bennett Lecture Theatre 10 (BEN LT10). All are Add to Reading List Source URL: www2.le.ac.uk Language: English - Date: 2011-04-15 09:57:46 Mathematics Analytic number theory Hecke operator Elliptic curve Shimura correspondence Quadratic Algebra Integral Weight Mathematical analysis Abstract algebra Modular forms

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