A converse theorem for metaplectic Eisenstein series on the double and triple covers of SL2(ℚ(−D))

DOI10.1142/S1793042116500998zbMath1348.11041MaRDI QIDQ2816459

Vladislav Petkov

Publication date: 22 August 2016

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

multiple Dirichlet seriesnon-holomorphic modular formsconverse theoremsmetaplectic Eisenstein 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)

Uses Software

• DLMF

Cites Work

• Weil's representation and the spectrum of the metaplectic group
• Über die Bestimmung Dirichletscher Reihen durch ihre Funktionalgleichung
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