Hidden Bibliographic Details
| Other authors / contributors: | Pi︠a︡tet︠s︡kiĭ-Shapiro, I. I. (Ilʹi︠a︡ Iosifovich), 1929-2009.
Rallis, Stephen, 1942-
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| ISBN: | 9783540478805
3540478809
3540178481
9783540178484
0387178481
9780387178486
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| Notes: | Includes bibliographical references and indexes.
Restrictions unspecified
Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010.
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. http://purl.oclc.org/DLF/benchrepro0212
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Print version record.
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| 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.
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| Other form: | Print version: Gelbart, Stephen S., 1946- Explicit constructions of automorphic L-functions. Berlin ; New York : Springer Verlag, ©1987 3540178481
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