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Selberg
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71	Author’s comments. There are one or two comments I neglected to make in the course of the lecture or matters that were inadequately explained. (i) The functions to be used in the proof proposed for functoriality are, a Add to Reading List Source URL: www.maths.nottingham.ac.uk Language: English - Date: 2014-07-02 16:15:41 Group theory Number theory Langlands program Arthur–Selberg trace formula Automorphic L-function Hecke operator Abstract algebra Automorphic forms Mathematics
72	REMARKS ON THE SYMMETRIC POWERS OF CUSP FORMS ON GL(2) DINAKAR RAMAKRISHNAN To Steve Gelbart On the occasion of his sixtieth birthday Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2009-07-13 15:36:06 Automorphic forms Conjectures Representation theory of Lie groups Class field theory Langlands program Local Langlands conjectures Cuspidal representation Artin L-function Rankin–Selberg method Abstract algebra Mathematics Algebra
73	ON THE EXCEPTIONAL ZEROS OF RANKIN-SELBERG L-FUNCTIONS DINAKAR RAMAKRISHNAN AND SONG WANG Introduction In this paper we study the possibility of real zeros near s = 1 for the RankinSelberg L-functions L(s, f × g) and L( Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2001-08-07 16:25:14 Automorphic forms Conjectures Langlands program Representation theory of Lie groups Number theory Automorphic L-function Local Langlands conjectures Rankin–Selberg method Selberg class Abstract algebra Mathematics Mathematical analysis
74	Bounds for the Spectral Mean Value of Central Values of L-functions Qing Lu Submitted in partial fulfillment of the Requirements for the degree Add to Reading List Source URL: www.math.columbia.edu Language: English - Date: 2011-08-29 20:27:01 Modular forms Rankin–Selberg method Riemann hypothesis Eisenstein series Real analytic Eisenstein series Langlands–Shahidi method Mathematical analysis Mathematics Analytic number theory
75	INTEGRAL MOMENTS OF AUTOMORPHIC L–FUNCTIONS Adrian Diaconu Paul Garrett Abstract. We obtain second integral moments of automorphic L–functions on adele groups GL2 over arbitrary number fields, by a spectral decompos Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2008-05-08 14:22:24 Fourier analysis Algebraic number field Convolution Fourier transform Pontryagin duality Eisenstein series Representation theory Rankin–Selberg method Mathematical analysis Abstract algebra Mathematics
76	(February 19, [removed]Simplest Example of Truncation and Maaß-Selberg Relations Paul Garrett [removed] http://www.math.umn.edu/˜garrett/ Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2005-02-19 17:42:19 Real analytic Eisenstein series Arthur–Selberg trace formula Mathematical analysis Analytic number theory Riemann zeta function
77	(July 9, [removed]Basic Rankin-Selberg Paul Garrett [removed] http://www.math.umn.edu/˜garrett/ Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2010-07-09 18:31:45 Analytic number theory Modular form Möbius transformation Riemann zeta function Symbol Oscillator semigroup Mathematical analysis Geometry Mathematics
78	(February 19, [removed]Truncation and Maaß-Selberg Relations Paul Garrett [removed] http://www.math.umn.edu/˜garrett/ Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2005-02-19 17:41:25 Special functions Operator Operator theory Eisenstein series Representation theory Mathematical analysis Analytic number theory Modular forms
79	(September 22, [removed]An iconic error ... computing Maaß-Selberg relations Paul Garrett [removed] http://www.math.umn.edu/˜garrett/ Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2009-09-22 12:16:16 Mathematics Modular forms Representation theory of Lie groups Analytic number theory Maass–Selberg relations Mathematical analysis Ordinal number Rankin–Selberg method
80	Moments for L–functions for GLr × GLr−1 A. Diaconu 1 P. Garrett 2 D. Goldfeld 3 Abstract: We establish a spectral identity for moments of Rankin-Selberg L– functions on GLr × GLr−1 over arbitrary number fields, Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2011-03-26 10:40:55 Automorphic forms Cuspidal representation Langlands program Representation theory of Lie groups Fourier series Modular form Gelfand pair Automorphic L-function Abstract algebra Mathematical analysis Group theory