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E-grāmata: Automorphic Representations, L-Functions and Applications: Progress and Prospects: Proceedings of a conference honoring Steve Rallis on the occasion of his 60th birthday, The Ohio State University, March 27-30, 2003

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This volume is the proceedings of the conference on Automorphic Representations, L-functions and Applications: Progress and Prospects, held at the Department of Mathematics of The Ohio State University, March 2730, 2003, in honor of the 60th birthday of Steve Rallis.

The theory of automorphic representations, automorphic L-functions and their applications to arithmetic continues to be an area of vigorous and fruitful research. The contributed papers in this volume represent many of the most recent developments and directions, including





RankinSelberg L-functions (Bump, GinzburgJiangRallis, LapidRallis) the relative trace formula (Jacquet, MaoRallis) automorphic representations (GanGurevich, GinzburgRallisSoudry) representation theory of p-adic groups (Baruch, KudlaRallis, Mglin, CogdellPiatetski-ShapiroShahidi) p-adic methods (HarrisLiSkinner, Vigneras), and arithmetic applications (ChintaFriedbergHoffstein).

The survey articles by Bump, on the RankinSelberg method, and by Jacquet, on the relative trace formula, should be particularly useful as an introduction to the key ideas about these important topics.

This volume should be of interest both to researchers and students in the area of automorphic representations, as well as to mathematicians in other areas interested in having an overview of current developments in this important field.

Recenzijas

"This volume should be of interest both to researchers and students in the area of automorphic representations, as well as to mathematicians in other areas interested in having an overview of current developments in this important field."L'Enseignement Mathematique 3-4/2005

Preface v
Bessel functions for GL(n) over a p-adic field
1(40)
Ehud Moshe Baruch
The Rankin-Selberg method: an introduction and survey
41(34)
Daniel Bump
Asymptotics for sums of twisted L-functions and applications
75(20)
Gautam Chinta
Solomon Friedberg
Jeffrey Hoffstein
Partial Bessel functions for quasi-split groups
95(34)
J.W. Cogdell
I.I. Piatetski-Shapiro
F. Shahidi
Non-tempered Arthur packets of G2
129(28)
Wee Teck Gan
Nadya Gurevich
On the nonvanishing of the central value of the Rankin-Selberg L-functions II
157(36)
David Ginzburg
Dihua Jiang
Stephen Rallis
Construction of CAP representations for symplectic groups using the descent method
193(32)
David Ginzburg
Steve Rallis
David Soudry
The Rallis inner product formula and p-adic L-functions
225(32)
Michael Harris
Jian-Shu Li
Christopher M. Skinner
A guide to the relative trace formula
257(16)
Herve Jacquet
On first occurrence in the local theta correspondence
273(36)
Stephen S. Kudla
Stephen Rallis
On the local factors of representations of classical groups
309(52)
Erez M. Lapid
Stephen Rallis
Stabilite pour les representations elliptiques de reduction unipotente; le cas des groupes unitaires
361(42)
Colette Moeglin
Global method in relative trace identities
403(16)
Zhengyu Mao
Stephen Rallis
Remark on congruences between algebraic automorphic forms
419
Marie-France Vigneras
James W. Cogdell is Professor at the Mathematics Department of the Oklahoma State University, USA.

Dihua Jiang is Associate Professor at the School of Mathematics at the University of Minnesota, USA.

Stephen S. Kudla is Professor at the Mathematics Department of the University of Maryland, USA.

David Soudry is Professor at the School of Mathematical Sciences of the Tel-Aviv University, Israel.

Robert J. Stanton is Professor at the Mathematics Department of the Ohio State University, USA.