**Contemporary Mathematics**

Volume: 488;
2009;
285 pp;
Softcover

MSC: Primary 11;

Print ISBN: 978-0-8218-4706-0

Product Code: CONM/488

List Price: $94.00

Individual Member Price: $75.20

**Electronic ISBN: 978-0-8218-8167-5
Product Code: CONM/488.E**

List Price: $94.00

Individual Member Price: $75.20

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# Automorphic Forms and $L$-functions I: Global Aspects

Share this page *Edited by *
*David Ginzburg; Erez Lapid; David Soudry*

A co-publication of the AMS and Bar-Ilan University

This book is the first of two volumes, which represent leading themes
of current research in automorphic forms and representation theory of
reductive groups over local fields. Articles in this volume mainly
represent global aspects of automorphic forms. Among the topics are
the trace formula; functoriality; representations of reductive groups
over local fields; the relative trace formula and periods of
automorphic forms; Rankin–Selberg convolutions and
\(L\)-functions; and \(p\)-adic
\(L\)-functions. The articles are written by leading
researchers in the field, and bring the reader, advanced graduate
students and researchers alike, to the frontline of the vigorous
research in these deep, vital topics. The companion volume
(Contemporary Mathematics, Volume 489) is devoted to local aspects of
automorphic forms.

The volume is based on talks presented at a Workshop in Honor of Steve
Gelbart on the Occasion of his Sixtieth Birthday, held May 15-19, 2006, in
Rehovot and Tel Aviv, Israel.

#### Table of Contents

# Table of Contents

## Automorphic Forms and $L$-functions I: Global Aspects

- Contents v7 free
- II. Local Aspects vii9 free
- Preface ix11 free
- Bibliography of Stephen S. Gelbart xi13 free
- Conference Program xvii19 free
- List of Participants xix21 free
- Report on the Trace Formula 123 free
- L-functions for Um × RE/FGLn (n ≤ [m/2]) 1335
- Gauss Sum Combinatorics and Metaplectic Eisenstein Series 6183
- On Partial Poincaré Series 83105
- Restrictions of Saito-Kurokawa Representations 95117
- Models for Certain Residual Representations of Unitary Groups 125147
- Crown Theory for the Upper Half Plane 147169
- Unitary Periods and Jacquet's Relative Trace Formula 183205
- Remarks on the Symmetric Powers of Cusp Forms on GL(2) 237259
- The Cohomological Approach to Cuspidal Automorphic Representations 257279

#### Readership

Graduate students and research mathematicians interested in representation theory and automorphic forms.