Explicit Constructions of Automorphic L-Functions (Lecture Notes in Mathematics, 1254)
Gelbart, Stephen
ISBN 10: 3540178481 ISBN 13: 9783540178484
Editorial: Springer, 1987
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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.
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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Título: Explicit Constructions of Automorphic ...
Editorial: Springer
Año de publicación: 1987
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Explicit Constructions of Automorphic L-Functions
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Springer Berlin Heidelberg, 1987
ISBN 10: 3540178481
ISBN 13: 9783540178484
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Explicit Constructions of Automorphic L-Functions (Lecture Notes in Mathematics)
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Explicit Constructions of Automorphic L-Functions. Lecture notes in mathematics; 1254.
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Berlin, Springer, 1987
ISBN 10: 3540178481
ISBN 13: 9783540178484
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Explicit Constructions of Automorphic L-Functions
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Springer Berlin Heidelberg, 1987
ISBN 10: 3540178481
ISBN 13: 9783540178484
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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-Sh. Nº de ref. del artículo: 4883555
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Explicit Constructions of Automorphic L-Functions
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Springer Berlin Heidelberg, Springer Berlin Heidelberg Mai 1987, 1987
ISBN 10: 3540178481
ISBN 13: 9783540178484
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Taschenbuch. Condición: Neu. Neuware -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. 164 pp. Englisch. Nº de ref. del artículo: 9783540178484
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Explicit Constructions of Automorphic L-Functions
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Springer Berlin Heidelberg, 1987
ISBN 10: 3540178481
ISBN 13: 9783540178484
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Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Nº de ref. del artículo: 9783540178484
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Explicit Constructions of Automorphic L-Functions
Publicado por
Springer Berlin Heidelberg Mai 1987, 1987
ISBN 10: 3540178481
ISBN 13: 9783540178484
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 164 pp. Englisch. Nº de ref. del artículo: 9783540178484
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Explicit Constructions of Automorphic L-Functions
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Explicit Constructions of Automorphic L-Functions (Lecture Notes in Mathematics, 1254)
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Explicit Constructions of Automorphic L-Functions (Lecture Notes in Mathematics, 1254)
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