Explicit Constructions of Automorphic L-Functions. Lecture notes in mathematics; 1254.

Gelbart, Stephen

ISBN 10: 3540178481 / ISBN 13: 9783540178484

Published by Berlin, Springer, 1987

About this Item

Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-01928 3540178481 Sprache: Englisch Gewicht in Gramm: 550.

Seller Inventory # 2485815

Bibliographic Details

• Title: Explicit Constructions of Automorphic L-Functions. Lecture notes in mathematics; 1254.
• Publisher: Berlin, Springer
• Publication Date: 1987
• Language: English
• ISBN 10: 3540178481
• ISBN 13: 9783540178484
• Binding: Softcover
• Weight: 550 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

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.