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Collected Works of Hervé Jacquet
Edited by: Dorian Goldfeld, Columbia University, New York, NY
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Collected Works
2011; 597 pp; hardcover
Volume: 23
ISBN-10: 0-8218-5356-2
ISBN-13: 978-0-8218-5356-6
List Price: US$144 Member Price: US$115.20
Order Code: CWORKS/23

Selected Works of Ilya Piatetski-Shapiro - James Cogdell, Simon Gindikin and Peter Sarnak

Hervé Jacquet is one of the founders of the modern theory of automorphic representations and their associated $$L$$-functions. This volume represents a selection of his most influential papers not already available in book form. The volume contains papers on the $$L$$-function attached to a pair of representations of the general linear group. Thus, it completes Jacquet's papers on the subject (joint with Shalika and Piatetski-Shapiro) that can be found in the volume of selected works of Piatetski-Shapiro. In particular, two often quoted papers of Jacquet and Shalika on the classification of automorphic representations and a historically important paper of Gelbart and Jacquet on the functorial transfer from $$GL(2)$$ to $$GL(3)$$ are included. Another series of papers pertains to the relative trace formula introduced by Jacquet. This is a variant of the standard trace formula which is used to study the period integrals of automorphic forms. Nearly complete results are obtained for the period of an automorphic form over a unitary group.

Graduate students and research mathematicians interested in number theory, automorphic representations, $$L$$-functions, and the Langlands Program.

Reviews

"...this volume of his Collected Works is a wonderful contribution to the literature in modern number theory, where we might define 'modern' as meaning something like post 'Jacquet-Langlands.' All modern arithmeticians, in particular the members of the everywhere dense subject of modular forms, should properly covet this book. I am happy I have my copy..."

-- MAA Reviews

"Jacquet is one of the founders of the modern theory of automorphic representations and their associated L-functions. [This book contains] 15 of his most influential papers that are not available in book form elsewhere."

-- Book News, Inc.