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Eisenstein series
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31	Modular Forms: A Computational Approach William A. Stein (with an appendix by Paul E. Gunnells) Department of Mathematics, University of Washington E-mail address: [removed] Add to Reading List Source URL: modular.math.washington.edu Language: English - Date: 2009-04-21 02:18:33 Mathematics Hecke operator Cusp form Eisenstein series Modular curve Atkin–Lehner theory Elliptic curve Siegel modular form Automorphic form Modular forms Mathematical analysis Abstract algebra
32	American Journal of Mathematical Analysis, 2014, Vol. 2, No. 3, 36-44 Available online at http://pubs.sciepub.com/ajma/2/3/2 © Science and Education Publishing DOI:[removed]ajma[removed]Modular Relations for the Sextodec Add to Reading List Source URL: www.sciepub.com Language: English Modular forms Number theory Mathematical identities Srinivasa Ramanujan Rogers–Ramanujan identities Eisenstein series Theta function Partition Q Mathematics Mathematical analysis Q-analogs
33	A brief overview of modular and automorphic forms Kimball Martin December 28, 2014 These notes were originally written in Fall 2010 to provide a very quick overview of some basic topics in modular forms, automorphic form Add to Reading List Source URL: www2.math.ou.edu Language: English - Date: 2014-12-28 01:50:03 Mathematics Hecke operator Cuspidal representation Representation theory Congruence subgroup Eisenstein series Automorphic form Modular group Cusp form Mathematical analysis Abstract algebra Modular forms
34	ON A FAMILY OF DISTRIBUTIONS OBTAINED FROM EISENSTEIN SERIES I: APPLICATION OF THE PALEY-WIENER THEOREM Introduction. This is the first of two papers aimed at finding explicit formulas for certain distributions. The dist Add to Reading List Source URL: www2.maths.ox.ac.uk Language: English - Date: 2013-12-01 07:09:06 Fourier analysis Functional analysis Analytic number theory Group theory Generalized functions Fourier transform Modular form Induced representation Distribution Mathematical analysis Abstract algebra Mathematics
35	ON A FAMILY OF DISTRIBUTIONS OBTAINED FROM EISENSTEIN SERIES H: EXPLICIT FORMULAS Introduction. The purpose of this paper is to find explicit formulas for those terms in the trace formula which arise from Eisenstein seri Add to Reading List Source URL: www2.maths.ox.ac.uk Language: English - Date: 2013-12-01 07:09:02 Group theory Induced representation Finite groups Banach spaces Algebraic number theory Sylow theorems Subgroup growth Abstract algebra Algebra Mathematics
36	Sage Reference Manual: Modular Forms Release 6.3 The Sage Development Team Add to Reading List Source URL: www.sagemath.org Language: English - Date: 2014-11-16 14:58:22 Mathematics Analytic number theory Group theory Eisenstein series Hecke operator Congruence subgroup Cusp form Atkin–Lehner theory Modular group Modular forms Mathematical analysis Abstract algebra
37	Mathematical Induction Solutions 1. Test Case: For n = 1, the left hand side and right hand side both equal 1 Add to Reading List Source URL: math.about.com Language: English - Date: 2014-03-04 17:35:36 Mathematical logic Inductive reasoning Mathematical induction Proof theory Pi Binomial coefficient Eisenstein series Mathematics Mathematical analysis Mathematical series
38	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
39	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: 2012-06-24 12:20:31 Analytic number theory Number theory Automorphic forms Number theorists Conjectures Kloosterman sum Eisenstein series Converse theorem Dorian M. Goldfeld Mathematics Mathematical analysis Abstract algebra
40	NATURAL BOUNDARIES AND THE CORRECT NOTION OF INTEGRAL MOMENTS OF L–FUNCTIONS Adrian Diaconu, Paul Garrett and Dorian Goldfeld Abstract. It is shown that a large class of multiple Dirichlet series which arise naturally Add to Reading List Source URL: www.math.columbia.edu Language: English - Date: 2009-09-18 11:32:11 Mathematics Analytic number theory Gamma function Riemann zeta function Residue Algebraic number field Special functions Polylogarithm Real analytic Eisenstein series Mathematical analysis Abstract algebra Meromorphic functions