Explicit constructions of automorphic L-functions - Info and Reading Options
By Stephen S. Gelbart
"Explicit constructions of automorphic L-functions" was published by Springer Verlag in 1987 - Berlin, it has 152 pages and the language of the book is English.
“Explicit constructions of automorphic L-functions” Metadata:
- Title: ➤ Explicit constructions of automorphic L-functions
- Author: Stephen S. Gelbart
- Language: English
- Number of Pages: 152
- Publisher: Springer Verlag
- Publish Date: 1987
- Publish Location: Berlin
“Explicit constructions of automorphic L-functions” Subjects and Themes:
- Subjects: ➤ L-functions - Automorphic forms - Representations of groups - Automorphic functions - Number theory - Mathematics
Edition Specifications:
- Pagination: vi, 152 p. ;
Edition Identifiers:
- The Open Library ID: OL2459487M - OL3280872W
- Online Computer Library Center (OCLC) ID: 16100844
- Library of Congress Control Number (LCCN): 87164416
- ISBN-10: 3540178481 - 0387178481
- All ISBNs: 3540178481 - 0387178481
AI-generated Review of “Explicit constructions of automorphic L-functions”:
"Explicit constructions of automorphic L-functions" Description:
The Open Library:
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.
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