
Analytic continuation is proved for certain Eisenstein series on the symplectic group which are associated with nonparabolic forms. In the case of the full modular group an explicit functional equation is obtained, and the singularities of the series are completely described.
Eisenstein series, special functions and Lie groups, Theta series; Weil representation; theta correspondences, Connections of hypergeometric functions with groups and algebras, and related topics, Discrete subgroups of Lie groups, symplectic group, Analytic Continuation, Eisenstein Series, Automorphic forms in several complex variables, Symplectic Group, Functional Equations
Eisenstein series, special functions and Lie groups, Theta series; Weil representation; theta correspondences, Connections of hypergeometric functions with groups and algebras, and related topics, Discrete subgroups of Lie groups, symplectic group, Analytic Continuation, Eisenstein Series, Automorphic forms in several complex variables, Symplectic Group, Functional Equations
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