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Modular forms
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31	1. Introduction 1.1. Background. L-functions and modular forms underlie much of twentieth century number theory and are connected to the practical applications of number theory in cryptography. The fundamental importance Add to Reading List Source URL: www.williamstein.org Language: English - Date: 2009-02-03 20:12:03 Mathematics Mathematical analysis Number theory Conjectures Analytic number theory Modular forms Riemann surfaces Millennium Prize Problems Riemann hypothesis Elliptic curve Langlands program L-function
32	Documenta Mathematica Journal der Deutschen Mathematiker-Vereinigung Band 2, 1997 A. Bottcher On the Approximation Numbers of Large Toeplitz Matrices Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2014-07-15 07:16:38 Mathematics Abstract algebra Mathematical analysis Modular forms Operator theory Joachim Cuntz Hertrich Cyclic homology Modular curve Crossed product
33	ON A PROPERNESS OF THE HILBERT EIGENVARIETY AT INTEGRAL WEIGHTS: THE CASE OF QUADRATIC RESIDUE FIELDS SHIN HATTORI Abstract. Let p be a rational prime. Let F be a totally real number field such that F is unramified over Add to Reading List Source URL: www2.math.kyushu-u.ac.jp Language: English - Date: 2016-06-23 04:17:05 Algebra Mathematics Abstract algebra Operator theory Field theory Analytic number theory Modular forms Algebraic geometry Eigenform Elliptic curve Valuation Algebraic number field
34	TRACES OF CLASS INVARIANTS DAEYEOL JEON, SOON-YI KANG, CHANG HEON KIM Abstract. Zagier showed that the traces of singular values of the modular j-invariant are Fourier coeﬃcients of a weakly holomorphic modular form o Add to Reading List Source URL: staff.miyakyo-u.ac.jp Language: English* - Date: 2008-10-24 01:33:36 Algebra Mathematics Mathematical analysis Modular forms Algebraic number theory Elliptic functions Analytic number theory Quadratic forms Weakly holomorphic modular form Eisenstein series J-invariant Complex multiplication
35	The Rankin-Selberg method for automorphic distributions Stephen D. Miller? and Wilfried Schmid?? 1 2 Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2005-12-07 17:42:30 Mathematical analysis Mathematics Fourier analysis Modular forms Generalized functions Analytic number theory Special functions RankinSelberg method Maass wave form Fourier transform Bessel function Dirac delta function
36	553 Documenta Math. A Modular Compactification of the General Linear Group Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2001-01-17 12:27:51 Mathematics Ordinal number Wellfoundedness Constructible universe Symbol Closed and exact differential forms Theory of computation NC CurryHoward correspondence Generalised Whitehead product
37	18 Congruences between Modular Forms M. Ram Murty* 1. Introduction Recently, Goldfeld and Hoffstein [4] have shown, using the theory of L-functions that if f and g are two holomorphic Hecke newforms of weight k and squar Add to Reading List Source URL: www.mast.queensu.ca Language: English - Date: 2012-02-06 15:20:17 Mathematical analysis Mathematics Abstract algebra Modular forms Riemann surfaces Analytic number theory Valuation AtkinLehner theory Differential forms on a Riemann surface Modular curve
38	577 Documenta Math. Computation of p-Adic Heights and Log Convergence In celebration of John Coates’ 60th birthday Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2006-11-24 17:49:13 Mathematics Abstract algebra Algebra Field theory Modular forms Algebraic geometry Valuation P-adic modular form Constructible universe P-adic number P-adic L-function Elliptic curve
39	Math. Ann. 262, Springer-Verlag 1983 Oscillations of Fourier Coefficients of Modular Forms M. Ram Murty Department of Mathematics. McGill University. 805 Sherbrooke Street, W., Montreal P.Q. Canada Add to Reading List Source URL: www.mast.queensu.ca Language: English - Date: 2013-08-08 16:47:30 Mathematics Mathematical analysis Algebra Analytic number theory Joseph Fourier Modular forms Fourier series Elliptic curve Field theory RamanujanPetersson conjecture Fundamental theorem of algebra Fourier transform
40	On Zagier’s cusp form and the Ramanujan τ function Add to Reading List Source URL: www.mast.queensu.ca Language: English - Date: 2016-03-21 18:25:24 Mathematical analysis Modular forms Mathematics Number theory Cusp form Ramanujan tau function Automorphic form Petersson inner product RamanujanPetersson conjecture Hecke operator

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