Explicit Constructions of Automorphic L-Functions (Lecture Notes in Mathematics): 1254 - Softcover

Gelbart, Stephen

 
9783540178484: Explicit Constructions of Automorphic L-Functions (Lecture Notes in Mathematics): 1254
Softcover
ISBN 10: 3540178481 ISBN 13: 9783540178484
Verlag: Springer, 1987

Inhaltsangabe

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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Reseña del editor

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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Verlag
Springer
Erscheinungsdatum
1987
Sprache
Englisch
ISBN 10 
3540178481
ISBN 13 
9783540178484
Einband
Tapa blanda
Anzahl der Seiten
164
Kontakt zum Hersteller
Nicht verfügbar
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9780387178486: Explicit Constructions of Automorphic L-Functions (Lecture Notes in Mathematics)

Vorgestellte Ausgabe

ISBN 10:  0387178481 ISBN 13:  9780387178486
Softcover