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

Read [Steve Gelbart, Ilya Piatetski-Shapiro, Stephen Rallis Book] # Explicit Constructions of Automorphic L-Functions (Lecture Notes in Mathematics) Online ! PDF eBook or Kindle ePUB free. Explicit Constructions of Automorphic L-Functions (Lecture Notes in Mathematics) This is the first time such an approach has been applied to such general classes of groups. 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. 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

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

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Rating : 4.66 (711 Votes)
Asin : 3540178481
Format Type : paperback
Number of Pages : 156 Pages
Publish Date : 2014-11-22
Language : English

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This is the first time such an approach has been applied to such general classes of groups. 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. 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 goal of this research monograph is to derive the analytic continuation and functional equation of the L-functions attached by R.P. 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.. Langlands to automorphic representations of reductive algebraic groups

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