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Explicit Constructions of Automorphic L-Functions (Paperback, 1987 ed.): Stephen Gelbart, Ilya Piatetski-Shapiro, Stephen Rallis Explicit Constructions of Automorphic L-Functions (Paperback, 1987 ed.)
Stephen Gelbart, Ilya Piatetski-Shapiro, Stephen Rallis
R1,167 Discovery Miles 11 670 Ships in 10 - 15 working days

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.

An Introduction to the Langlands Program (Paperback, 2004 ed.): Joseph Bernstein An Introduction to the Langlands Program (Paperback, 2004 ed.)
Joseph Bernstein; Contributions by S.S. Kudla; Edited by Stephen Gelbart; Contributions by E. Kowalski, E.De Shalit, …
R1,823 Discovery Miles 18 230 Ships in 12 - 19 working days

This book presents a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with the theory of L-functions and other fields of mathematics. Each of the twelve chapters focuses on a particular topic devoted to special cases of the program. The book is suitable for graduate students and researchers.

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