A converse theorem for double Dirichlet series and Shintani zeta functions

DOI10.2969/JMSJ/06620449zbMath1311.11043OpenAlexW2086320593MaRDI QIDQ2248627

Nikolaos Diamantis, Dorian Goldfeld

Publication date: 27 June 2014

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1398258180

zbMATH Keywords

Eisenstein seriesShintani zeta functionforms of half-integral weightconverse theoremsdouble Dirichlet series

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Multiple Dirichlet series and zeta functions and multizeta values (11M32) Dirichlet series in several complex variables associated to automorphic forms; Weyl group multiple Dirichlet series (11F68)

Related Items (6)

The Shintani double zeta functions ⋮ A symplectic restriction problem ⋮ A Voronoi summation formula for non-holomorphic Maass forms of half-integral weight ⋮ Dirichlet series of two variables, real analytic Jacobi-Eisenstein series of matrix index, and Katok-Sarnak type result ⋮ Converse theorems for automorphic distributions and Maass forms of level \(N\) ⋮ RANKIN–SELBERG CONVOLUTIONS OF NONCUSPIDAL HALF-INTEGRAL WEIGHT MAASS FORMS IN THE PLUS SPACE

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Die Funktionalgleichungen einiger Dirichletscher Reihen
• Lectures on modular functions of one complex variable. Notes by Sunder Lal. Rev. ed
• Eisenstein series of \(1\over 2\)-integral weight and the mean value of real Dirichlet L-series
• Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. I, II. (The eigenvalue problem of automorphic forms in the hyperbolic plane. I. II)
• A converse theorem for double Dirichlet series
• On the Holomorphy of Certain Dirichlet Series
• Modular Forms for Γ 0 (N) and Dirichlet Series
• On L-functions associated with the vector space of binary quadratic forms
• Zeta functions in several variables associated with prehomogeneous vector spaces. I: Functional equations

This page was built for publication: A converse theorem for double Dirichlet series and Shintani zeta functions