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
Resource Information
The item Explicit constructions of automorphic L-functions, Stephen Gelbart, Ilya Piatetski-Shapiro, Stephen Rallis represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Explicit constructions of automorphic L-functions, Stephen Gelbart, Ilya Piatetski-Shapiro, Stephen Rallis represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- 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
- Language
- eng
- Extent
- 1 online resource (vi, 152 pages).
- 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
- Isbn
- 9783540478805
- Label
- Explicit constructions of automorphic L-functions
- Title
- Explicit constructions of automorphic L-functions
- Statement of responsibility
- Stephen Gelbart, Ilya Piatetski-Shapiro, Stephen Rallis
- 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
- 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
- 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
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Explicit-constructions-of-automorphic/YuY4KqPgNZY/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Explicit-constructions-of-automorphic/YuY4KqPgNZY/">Explicit constructions of automorphic L-functions, Stephen Gelbart, Ilya Piatetski-Shapiro, Stephen Rallis</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
