A converse theorem for Jacobi-Maass forms and applications

DOI10.1016/J.JNT.2016.05.005zbMath1409.11040OpenAlexW2466167652MaRDI QIDQ739272

Sebastián Herrero-Miranda

Publication date: 18 August 2016

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.05.005

zbMATH Keywords

functional equationDirichlet seriesconverse theoremJacobi-Maass forms

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Jacobi forms (11F50)

Related Items (1)

An analogue of Weil's converse theorem for harmonic Maass forms of polynomial growth

Cites Work

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• A converse theorem for Jacobi forms
• The theory of Jacobi forms
• Jacobi Maaß forms
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• Converse theorems for \(\text{GL}_n\)
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• Lectures on modular functions of one complex variable
• Über eine neue Art von nichtanalytischen automorphen Funktionen und die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen. (On a new type of nonanalytic automorphic functions and the determination of Dirichlet series by functional equations)
• Die Differentialgleichungen in der Theorie der elliptischen Modulfunktionen. (The differential equations in the theory of elliptic modular functions)
• Generalization of Hecke's Correspondence to Siegel Modular Forms

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