Degree standard -function of
About this Title
Publication: Memoirs of the American Mathematical Society
Publication Year 1996: Volume 123, Number 588
ISBNs: 978-0-8218-0476-6 (print); 978-1-4704-0173-3 (online)
MathSciNet review: 1342020
MSC (1991): Primary 11F70; Secondary 11F67, 22E30
Automorphic L-functions, introduced by Robert Langlands in the 1960s, are natural extensions of such classical L-functions as the Riemann zeta function, Hecke L-functions, etc. They form an important part of the Langlands Program, which seeks to establish connections among number theory, representation theory, and geometry.
This book offers, via the Rankin-Selberg method, a thorough and comprehensive examination of the degree 16 standard L-function of the product of two rank two symplectic similitude groups, which includes the study of the global integral of Rankin-Selberg type and local integrals, analytic properties of certain Eisenstein series of symplectic groups, and the relevant residue representations.
Graduate students and research mathematicians interested in number theory.
Table of Contents
- 1. Introduction
- 2. Degree 16 standard L-function of
- 3. Poles of Eisenstein series of
- 4. Residue representations of Eisenstein series
- 5. Local theory of Rankin-Selberg convolution