Automorphic representations and L-functions for the general linear group
By: Dorian Goldfeld, Joseph Hundley ; with exercises by Xander Faber
Contributors: Hundley, Joseph
Series: Cambridge studies in advanced mathematics -- 129-130; Cambridge studies in advanced mathematics -- 129-130.
Publisher: Cambridge University Press
Published: 2011
Place of publication: Cambridge; New York
Language: eng
Number of pages: 572
ISBN-13: 9780521474238; 9781107007994
Subjects: L-functions; Automorphic forms; Representations of groups
Notes: Includes bibliographical references and index.
Table of contents: title: v. 1. Introduction. Preface 1. Adeles over Q 2. Automorphic representations and L-functions for GL(1,AQ) 3. The classical theory of automorphic forms for GL(2) 4. Automorphic forms for GL(2,AQ) 5. Automorphic representations for GL(2,AQ) 6. Theory of admissible representations of GL(2,Qp) 7. Theory of admissible (g,K[infinity]) modules for GL(2,R) 8. The contragredient representation for GL(2) 9. Unitary representations of GL(2) 10. Tensor products of local representations 11. The Godement-Jacquet L-function for GL(2,AQ). Solutions to selected exercises. References. Symbols index. Index.; title: v. 2. 12. the classical theory of automorphic forms for GL(n,R); title: 13. Automorphic forms and representations for GL(n,AQ); title: 14. Theory of local respresnetations for GL(n); title: The Godement-Jacquet L-function for GL(n,AQ).