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Collected Works of Hervé Jacquet

Edited by: Dorian Goldfeld Columbia University, New York, NY
Available Formats:
Hardcover ISBN: 978-0-8218-5356-6
Product Code: CWORKS/23
List Price: $153.00 MAA Member Price:$137.70
AMS Member Price: $122.40 Click above image for expanded view Collected Works of Hervé Jacquet Edited by: Dorian Goldfeld Columbia University, New York, NY Available Formats:  Hardcover ISBN: 978-0-8218-5356-6 Product Code: CWORKS/23  List Price:$153.00 MAA Member Price: $137.70 AMS Member Price:$122.40
• Book Details

Collected Works
Volume: 232011; 597 pp
MSC: Primary 11; 22;

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.
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Volume: 232011; 597 pp
MSC: Primary 11; 22;

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.