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 / / ed. by James W. Cogdell, Dihua Jiang, Stephen S. Kudla, David Soudry, Robert J. Stanton.

• Superior document: Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
• MitwirkendeR: Baruch, Ehud Moshe,; Bump, Daniel,; Chinta, Gautam,; Cogdell, J. W.,; Friedberg, Solomon,; Gan, Wee Teck,; Ginzburg, David,; Gurevich, Nadya,; Harris, Michael,; Hoffstein, Jeffrey,; Jacquet, Hervé,; Jiang, Dihua,; Kudla, Stephen S.,; Lapid, Erez M.,; Li, Jian-Shu,; Mao, Zhengyu,; Mœglin, Colette,; Piatetski-Shapiro, I. I.,; Rallis, Stephen,; Shahidi, F.,; Skinner, Christopher M.,; Soudry, David,; Vignéras, Marie-France,
• HerausgeberIn: Cogdell, James W.,; Jiang, Dihua,; Kudla, Stephen S.,; Soudry, David,; Stanton, Robert J.,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2011]; ©2005
• Year of Publication: 2011
• Edition: Reprint 2011
• Language: English
• Series: Ohio State University Mathematical Research Institute Publications , 11
• Physical Description: 1 online resource (430 p.)

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 27–30, 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 Rankin–Selberg L-functions (Bump, Ginzburg–Jiang–Rallis, Lapid–Rallis) the relative trace formula (Jacquet, Mao–Rallis) automorphic representations (Gan–Gurevich, Ginzburg–Rallis–Soudry) representation theory of p-adic groups (Baruch, Kudla–Rallis, Mœglin, Cogdell–Piatetski-Shapiro–Shahidi) p-adic methods (Harris–Li–Skinner, Vigneras), and arithmetic applications (Chinta–Friedberg–Hoffstein). The survey articles by Bump, on the Rankin–Selberg 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.

Table of Contents

Frontmatter -- Preface -- Table of contents -- Bessel functions for GL(n) over a p-adic field -- The Rankin-Selberg method: an introduction and survey -- Asymptotics for sums of twisted L-functions and applications -- Partial Bessel functions for quasi-split groups -- Non-tempered Arthur packets of G2 -- On the nonvanishing of the central value of the Rankin-Selberg L-functions II -- Construction of CAP representations for symplectic groups using the descent method -- The Rallis inner product formula and p-adic L-functions -- A guide to the relative trace formula -- On first occurrence in the local theta correspondence -- On the local factors of representations of classical groups -- Stabilite pour les representations elliptiques de reduction unipotente; le cas des groupes unitaires -- Global method in relative trace identities -- Remark on congruences between algebraic automorphic forms