Selberg

Results: 103



#Item
71Group theory / Number theory / Langlands program / Arthur–Selberg trace formula / Automorphic L-function / Hecke operator / Abstract algebra / Automorphic forms / Mathematics

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
72Automorphic 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

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
73Automorphic 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

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
74Modular forms / Rankin–Selberg method / Riemann hypothesis / Eisenstein series / Real analytic Eisenstein series / Langlands–Shahidi method / Mathematical analysis / Mathematics / Analytic number theory

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
75Fourier analysis / Algebraic number field / Convolution / Fourier transform / Pontryagin duality / Eisenstein series / Representation theory / Rankin–Selberg method / Mathematical analysis / Abstract algebra / Mathematics

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
76Real analytic Eisenstein series / Arthur–Selberg trace formula / Mathematical analysis / Analytic number theory / Riemann zeta function

(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
77Analytic number theory / Modular form / Möbius transformation / Riemann zeta function / Symbol / Oscillator semigroup / Mathematical analysis / Geometry / Mathematics

(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
78Special functions / Operator / Operator theory / Eisenstein series / Representation theory / Mathematical analysis / Analytic number theory / Modular forms

(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
79Mathematics / Modular forms / Representation theory of Lie groups / Analytic number theory / Maass–Selberg relations / Mathematical analysis / Ordinal number / Rankin–Selberg method

(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
80Automorphic 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

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
UPDATE