Memoirs of the American Mathematical Society 1996; 196 pp; softcover Volume: 123 ISBN10: 0821804766 ISBN13: 9780821804766 List Price: US$53 Individual Members: US$31.80 Institutional Members: US$42.40 Order Code: MEMO/123/588
 Automorphic Lfunctions, introduced by Robert Langlands in the 1960s, are natural extensions of such classical Lfunctions as the Riemann zeta function, Hecke Lfunctions, 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 RankinSelberg method, a thorough and comprehensive examination of the degree 16 standard Lfunction of the product of two rank two symplectic similitude groups, which includes the study of the global integral of RankinSelberg type and local integrals, analytic properties of certain Eisenstein series of symplectic groups, and the relevant residue representations. Readership Graduate students and research mathematicians interested in number theory. Table of Contents  Introduction
 Degree 16 standard Lfunction of \(GSp(2)\times GSp(2)\)
 Poles of Eisenstein series of \(Sp(n)\)
 Residue representations of Eisenstein series
 Local theory of RankinSelberg convolution
 Bibliography
 Index
