Coverart for item
The Resource Explicit constructions of automorphic L-functions, Stephen Gelbart, Ilya Piatetski-Shapiro, Stephen Rallis

Explicit constructions of automorphic L-functions, Stephen Gelbart, Ilya Piatetski-Shapiro, Stephen Rallis

Label
Explicit constructions of automorphic L-functions
Title
Explicit constructions of automorphic L-functions
Statement of responsibility
Stephen Gelbart, Ilya Piatetski-Shapiro, Stephen Rallis
Creator
Contributor
Subject
Language
eng
Summary
The goal of this research monograph is to derive the analytic continuation and functional equation of the L-functions attached by R.P. Langlands to automorphic representations of reductive algebraic groups. The first part of the book (by Piatetski-Shapiro and Rallis) deals with L-functions for the simple classical groups; the second part (by Gelbart and Piatetski-Shapiro) deals with non-simple groups of the form G GL(n), with G a quasi-split reductive group of split rank n. The method of proof is to construct certain explicit zeta-integrals of Rankin-Selberg type which interpolate the relevant Langlands L-functions and can be analyzed via the theory of Eisenstein series and intertwining operators. This is the first time such an approach has been applied to such general classes of groups. The flavor of the local theory is decidedly representation theoretic, and the work should be of interest to researchers in group representation theory as well as number theory
Member of
Action
digitized
Cataloging source
SPLNM
http://library.link/vocab/creatorDate
1946-
http://library.link/vocab/creatorName
Gelbart, Stephen S.
Dewey number
  • 510 s
  • 512/.73
Index
index present
LC call number
  • QA3
  • QA246
LC item number
.L28 no. 1254
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
  • 1929-2009
  • 1942-
http://library.link/vocab/relatedWorkOrContributorName
  • Pi︠a︡tet︠s︡kiĭ-Shapiro, I. I.
  • Rallis, Stephen
Series statement
Lecture notes in mathematics,
Series volume
1254
http://library.link/vocab/subjectName
  • L-functions
  • Automorphic forms
  • Representations of groups
  • Fonctions L
  • Automorphic forms
  • L-functions
  • Representations of groups
  • L-functies
  • L-Funktion
  • Klassische Gruppe
  • Automorphe Darstellung
Label
Explicit constructions of automorphic L-functions, Stephen Gelbart, Ilya Piatetski-Shapiro, Stephen Rallis
Instantiates
Publication
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
L-Functions for the Classical Groups -- L-Functions for G GL(n): Basic Identities and the Euler Product Expansion. The Local Functional Equation -- General Index -- Index of Notation
Control code
289101923
Dimensions
unknown
Extent
1 online resource (vi, 152 pages).
Form of item
online
Isbn
9783540478805
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)289101923
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Label
Explicit constructions of automorphic L-functions, Stephen Gelbart, Ilya Piatetski-Shapiro, Stephen Rallis
Publication
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
L-Functions for the Classical Groups -- L-Functions for G GL(n): Basic Identities and the Euler Product Expansion. The Local Functional Equation -- General Index -- Index of Notation
Control code
289101923
Dimensions
unknown
Extent
1 online resource (vi, 152 pages).
Form of item
online
Isbn
9783540478805
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)289101923
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.

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