A converse theorem for double Dirichlet series and Shintani zeta functions

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A converse theorem for double Dirichlet series and Shintani zeta functions

The main aim of this paper is to obtain a converse theorem for double Dirichlet series and use it to show that the Shintani zeta functions which arise in the theory of prehomogeneous vector spaces are actually linear combinations of Mellin transforms of metaplectic Eisenstein series on GL (2). The c...

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Bibliographic Details
Main Authors:	Diamantis, Nikolaos, Goldfeld, Dorian
Format:	Article
Published:	Mathematical Society of Japan 2014
Subjects:	Double Dirichlet series Eisenstein series converse theorems forms of half-integral weight
Online Access:	https://eprints.nottingham.ac.uk/34545/

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