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Modular group
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181	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
182	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
183	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
184 $Prime ideal / Euclidean algorithm / Field theory / Prime numbers / Modular arithmetic / Partial fraction / Splitting field / Abstract algebra / Mathematics / Algebra$	Solutions Chapters 1–5 Section[removed]Under multiplication, the positive integers form a monoid but not a group, and the positive even integers form a semigroup but not a monoid. 2. With \|a\| denoting the order of a, we Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2008-12-24 22:45:51 Prime ideal Euclidean algorithm Field theory Prime numbers Modular arithmetic Partial fraction Splitting field Abstract algebra Mathematics Algebra
185	The 2014 ICM Emmy Noether Lecturer is Georgia Benkart for her fundamental contributions to several branches of Lie Theory. Georgia Benkart is a leader in the representation theory of Lie algebras and Kac-Moody algebras w Add to Reading List Source URL: www.mathunion.org Language: English - Date: 2014-07-24 06:02:19 Group theory Modular Lie algebra Kac–Moody algebra Representation theory Cartan subalgebra Emmy Noether En Simple Lie group Monster Lie algebra Lie algebras Abstract algebra Algebra
186	COUNTING CONGRUENCE SUBGROUPS Dorian Goldfeld Alexander Lubotzky ´szlo ´ Pyber Add to Reading List Source URL: www.math.columbia.edu Language: English - Date: 2003-04-18 21:03:45 Group theory Modular forms Analytic number theory Bombieri–Vinogradov theorem Sieve theory Congruence subgroup Valuation Riemann hypothesis Prime number theorem Abstract algebra Mathematics Mathematical analysis
187	MODULAR CURVES, MODULAR SURFACES, AND MODULAR FOURFOLDS Dinakar Ramakrishnan To Jacob Murre Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2006-03-13 15:54:56 Symbol Modular curve Motive Shimura variety Orthogonal group Representation theory Μ operator Gelfand pair Abstract algebra Algebra Algebraic geometry
188	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
189	PDF Document Add to Reading List Source URL: www.ias.ac.in Language: English - Date: 2013-12-02 07:06:01 Analytic number theory Modular group Complex number Index of a subgroup Lie groups Geometric group theory Abstract algebra Group theory Modular forms
190	Some comments on elliptic curves over general number fields and Brill-Noether modular varieties B. Mazur July 20, 2014 Very rough notes for a lecture to be given October 5, 2013 at the Quebec/Maine Number Theory Add to Reading List Source URL: abel.math.harvard.edu Language: English - Date: 2014-07-20 11:05:08 Algebraic curves Elliptic curves Analytic number theory Group theory Diophantine geometry Modular curve Torsion tensor Canonical bundle Algebraic number field Abstract algebra Algebraic geometry Mathematics

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