Automorphic forms

Results: 228



#Item
161Automorphic forms / Langlands program / Representation theory of Lie groups / Automorphic L-function / Cuspidal representation / Whittaker model / Fourier series / Gelfand pair / Abstract algebra / Group theory / Representation theory

ON THE SL(2) PERIOD INTEGRAL By U. K. ANANDAVARDHANAN and DIPENDRA PRASAD Abstract. Let E/F be a quadratic extension of number fields. For a cuspidal representation π of SL2 (AE ), we study in this paper the integral

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Language: English - Date: 2006-12-22 11:45:58
162Representation theory of Lie groups / Automorphic forms / Representation theory / Cuspidal representation / Conjectures / Number theory / Modular form / Algebraic number field / Weil group / Abstract algebra / Algebra / Class field theory

Journal of Number Theory 80, 2543[removed]Article ID jnth[removed], available online at http:www.idealibrary.com on Tate Cycles on a Product of Two Hilbert Modular Surfaces V. Kumar Murty 1

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Language: English - Date: 2006-11-07 21:06:58
163Representation theory / Automorphic forms / Fourier analysis / Metaplectic group / Reductive dual pair / Cuspidal representation / Modular form / Symplectic vector space / Orthogonal group / Abstract algebra / Algebra / Mathematics

A brief survey on the theta correspondence Dipendra Prasad The following is an expanded version of the notes for a survey lecture on the theta correspondence given at Trichy in January, 1996. The aim of this lecture was

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Language: English - Date: 2007-01-23 10:29:33
164Induced representation / Whittaker model / Local Langlands conjectures / Admissible representation / Cuspidal representation / Gelfand pair / Clifford theory / Abstract algebra / Representation theory / Automorphic forms

Mathematical Research Letters 10, 1–[removed]DISTINGUISHED REPRESENTATIONS FOR SL(2) U.K. Anandavardhanan and Dipendra Prasad Abstract. Let E/F be a quadratic extension of p-adic fields. We compute the

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Language: English - Date: 2003-12-04 22:05:49
165Automorphic forms / Conjectures / Number theory / Induced representation / Admissible representation / Langlands program / Jacquet module / Steinberg representation / Discrete series representation / Abstract algebra / Representation theory of Lie groups / Representation theory

The space of degenerate Whittaker models for GL(4) over p-adic fields Dipendra Prasad February 23, [removed]

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Language: English - Date: 2007-02-23 14:07:10
166Automorphic forms / Representation theory of Lie groups / Topological groups / Gelfand pair / Harmonic analysis / Langlands program / Representation theory / Multiplicity-one theorem / Induced representation / Abstract algebra / Algebra / Group theory

RELATING INVARIANT LINEAR FORM AND LOCAL EPSILON FACTORS VIA GLOBAL METHODS DIPENDRA PRASAD Appendix by HIROSHI SAITO Abstract

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Language: English - Date: 2007-06-06 10:37:28
167Harmonic analysis / Functional equation / Algebraic number field / Pontryagin duality / Dirichlet character / Dirichlet L-function / Abstract algebra / Mathematical analysis / Mathematics

SMR[removed]Summer School and Conference on Automorphic Forms and Shimura Varieties[removed]July 2007

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Language: English - Date: 2009-06-14 04:53:26
168Lie groups / Representation theory / Automorphic forms / Group theory / General linear group / Representation of a Lie group / Group representation / Whittaker model / Langlands program / Abstract algebra / Algebra / Mathematics

Vol. 69, No. 1 DUKE MATHEMATICAL JOURNAL (C) January 1993

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Language: English - Date: 2005-05-20 01:31:31
169Automorphic forms / Class field theory / Representation theory of Lie groups / Conjectures / Langlands program / Local Langlands conjectures / Cuspidal representation / Weil group / Artin L-function / Abstract algebra / Algebra / Mathematics

ON THE GLOBAL ROOT NUMBERS OF GL(n) × GL(m) DIPENDRA PRASAD AND DINAKAR RAMAKRISHNAN To Professor G. Shimura 1. Introduction Let F be a number field, n, m ≥ 1, and π = ⊗0v πv , π 0 = ⊗0v πv0 cuspidal, unitary

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Language: English - Date: 2006-11-13 17:25:25
170Automorphic 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,

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Source URL: www.math.umn.edu

Language: English - Date: 2011-03-26 10:40:55
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