Degree 16 Standard L-Function of Gsp(2) X Gsp(2) (Memoirs of the American Mathematical Society)
( Memoirs of the American Mathematical Society )
Publication series ：Memoirs of the American Mathematical Society
Author： Dihua Jiang
Publisher： American Mathematical Society
Publication year： 2013
E-ISBN: 9781470401733
P-ISBN(Paperback): 9780821804766
Subject： O174 function theory
Keyword： Algebra and Algebraic Geometry
Language： ENG
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Degree 16 Standard L-Function of Gsp(2) X Gsp(2) (Memoirs of the American Mathematical Society)
Description
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.