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

Gelbart, Stephen

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

Sinopsis

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
1987
Idioma
Inglés
ISBN 10 
3540178481
ISBN 13 
9783540178484
Encuadernación
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Número de páginas
164
Contacto del fabricante
no disponible
Persona responsable
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Hamburg
Alemania

Otras ediciones populares con el mismo título

9780387178486: Explicit Constructions of Automorphic L-Functions (Lecture Notes in Mathematics)

Edición Destacada

ISBN 10:  0387178481 ISBN 13:  9780387178486
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