Degree 16 Standard L-Function of Gsp(2) ×GSp(2)
Degree 16 Standard L-Function of Gsp(2) ×GSp(2) By Dihua Jiang
1996 | 196 Pages | ISBN: 0821804766 | PDF | 17 MB
1996 | 196 Pages | ISBN: 0821804766 | PDF | 17 MB
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.