# Automorphic representations and L-functions for the general linear group :

Goldfeld, Dorian.

Automorphic representations and L-functions for the general linear group : Volume-2 Dorian Goldfeld, Joseph Hundley ; with exercises by Xander Faber. - Cambridge : Cambridge University Press, 2011. - xix, 188p. 23 cm. - Cambridge studies in advanced mathematics ; 130 . - Cambridge studies in advanced mathematics ; 130. .

Includes bibliographical references and index.

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. -- v. 2. 12. the classical theory of automorphic forms for GL(n,R) -- 13. Automorphic forms and representations for GL(n,AQ) -- 14. Theory of local respresnetations for GL(n) -- The Godement-Jacquet L-function for GL(n,AQ).

ISBN: 9781107007994 (v.2) 1107007992 (v.2)
= Mathematics-reference book collection

LCCN: 2011456160

Nat. Bib. No.: GBB0D0493 bnb

Subjects--Topical Terms:

Automorphic forms.

L-functions.

Representations of groups.

LC Class. No.: QA353.A9 / G65 2011

Dewey Class. No.: 515.9 G56A

Automorphic representations and L-functions for the general linear group : Volume-2 Dorian Goldfeld, Joseph Hundley ; with exercises by Xander Faber. - Cambridge : Cambridge University Press, 2011. - xix, 188p. 23 cm. - Cambridge studies in advanced mathematics ; 130 . - Cambridge studies in advanced mathematics ; 130. .

Includes bibliographical references and index.

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. -- v. 2. 12. the classical theory of automorphic forms for GL(n,R) -- 13. Automorphic forms and representations for GL(n,AQ) -- 14. Theory of local respresnetations for GL(n) -- The Godement-Jacquet L-function for GL(n,AQ).

Automorphic forms.

L-functions.

Representations of groups.