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Modular forms
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251	COMPACT ARITHMETIC QUOTIENTS OF THE COMPLEX 2-BALL AND A CONJECTURE OF LANG arXiv:1401.1628v2 [math.NT] 31 Mar[removed]MLADEN DIMITROV AND DINAKAR RAMAKRISHNAN Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2014-04-01 11:50:52 Modular forms Differential topology Orbifold Algebraic topology Homotopy theory Congruence subgroup Modular curve Covering space Representation theory Abstract algebra Mathematics Topology
252	MODULAR FORMS AND CALABI-YAU VARIETIES KAPIL PARANJAPE1 AND DINAKAR RAMAKRISHNAN2 Introduction Let f (z) = Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2014-04-02 03:40:44 Modular forms Analytic number theory Group theory Algebraic geometry Algebraic curves Elliptic curve Calabi–Yau manifold Motive Congruence subgroup Abstract algebra Mathematical analysis Mathematics
253	Adv. appl. Cliﬀord alg[removed]), 665–676 c 2008 Birkh¨ auser Verlag Basel/Switzerland[removed]-12, published online May 27, 2008 DOI[removed]s00006[removed]y Add to Reading List Source URL: math.nd.edu Language: English - Date: 2010-01-22 10:34:09 Quadratic forms Algebraic number theory 15 and 290 theorems Quadratic polynomial Modular form Binary quadratic form Ideal class group Quadratic residue Smith–Minkowski–Siegel mass formula Abstract algebra Algebra Mathematics
254	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
255	M ath. Res. Lett. c International Press[removed]), no. 2, 315–332 Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2008-02-08 19:20:50 Automorphic forms Representation theory of Lie groups Conjectures Number theory Analytic number theory Cuspidal representation Multiplicity-one theorem Modular form Local Langlands conjectures Abstract algebra Mathematics Algebra
256	Universal quadratic forms and the 290-Theorem Manjul Bhargava and Jonathan Hanke 1 Introduction Add to Reading List Source URL: www.wordpress.jonhanke.com Language: English - Date: 2011-11-28 18:55:34 Quadratic forms 15 and 290 theorems Prime number Number Modular form Lattice Theta function Smith–Minkowski–Siegel mass formula Unimodular lattice Mathematics Abstract algebra Mathematical analysis
257	BIOGRAPHICAL DATA Dorian Goldfeld Personal Data U.S. Citizen, Birthdate: January 21, 1947, Marburg, Germany Married with two children. Add to Reading List Source URL: www.math.columbia.edu Language: English - Date: 2014-03-03 16:08:31 Number theory Modular forms Conjectures Number theorists Kloosterman sum Eisenstein series Converse theorem Automorphic form Birch and Swinnerton-Dyer conjecture Mathematics Mathematical analysis Analytic number theory
258	JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY Volume 12, Number 1, January 1999, Pages 173–240 S[removed][removed]PERIODS OF AUTOMORPHIC FORMS Add to Reading List Source URL: www.math.columbia.edu Language: English - Date: 2007-02-16 14:25:12 Spectral theory Operator theory Analytic number theory Modular form Moduli theory Spectrum Algebraic number field Spectral theory of ordinary differential equations Plancherel theorem for spherical functions Abstract algebra Mathematical analysis Algebra
259	Analytic Number Theory Homework #4 (due Thursday, May 8, 2014) Problem 1: Let χ be a Dirichlet character (mod q) for some integer q > 1. Prove that L(1, χ) log q. Problem 2: Fix a prime p. Show that Add to Reading List Source URL: www.math.columbia.edu Language: English - Date: 2014-04-16 14:02:50 Number theory Analytic number theory Modular forms Moduli theory Dirichlet character Coprime Root of unity Modular curve Mathematics Abstract algebra Mathematical analysis
260	Final_Submission_Forms_Workbook_05-2012_rev03-2013.xls Add to Reading List Source URL: www.p12.nysed.gov Language: English - Date: 2013-03-28 16:34:45 New York State Education Department Modular Addition United States Building engineering Board of Cooperative Educational Services Government of New York

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