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- catalog abstract "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.".
- catalog contributor b826097.
- catalog contributor b826098.
- catalog contributor b826099.
- catalog created "c1987.".
- catalog date "1987".
- catalog date "c1987.".
- catalog dateCopyrighted "c1987.".
- catalog description "Contents: L-Functions for the Classical Groups -- L-Functions for G GL(n): Basic Identities and the Euler Product Expansion. The Local Functional Equation -- General Index -- Index of Notation.".
- catalog description "Includes bibliographies and indexes.".
- catalog description "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.".
- catalog extent "vi, 152 p. ;".
- catalog hasFormat "Explicit constructions of automorphic L-functions.".
- catalog identifier "0387178481 (New York)".
- catalog identifier "3540178481 (Berlin)".
- catalog isFormatOf "Explicit constructions of automorphic L-functions.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1254.".
- catalog isPartOf "Lecture notes in mathematics ; 1254".
- catalog issued "1987".
- catalog issued "c1987.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Explicit constructions of automorphic L-functions.".
- catalog subject "Automorphic forms.".
- catalog subject "L-functions.".
- catalog subject "Mathematics.".
- catalog subject "Number theory.".
- catalog subject "QA3 .L28 no. 1254".
- catalog subject "Representations of groups.".
- catalog tableOfContents "Contents: L-Functions for the Classical Groups -- L-Functions for G GL(n): Basic Identities and the Euler Product Expansion. The Local Functional Equation -- General Index -- Index of Notation.".
- catalog title "Explicit constructions of automorphic L-functions / Stephen Gelbart, Ilya Piatetski-Shapiro, Stephen Rallis.".
- catalog type "text".