A converse theorem for quasimodular forms

DOI10.1515/FORUM-2021-0241zbMath1500.11043OpenAlexW4214532215WikidataQ113741112 ScholiaQ113741112MaRDI QIDQ2121542

Mrityunjoy Charan, Jaban Meher, Karam Deo Shankhadhar, Ranveer Kumar Singh

Publication date: 4 April 2022

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum-2021-0241

zbMATH Keywords

\(L\)-functionsDirichlet seriesquasimodular formsnearly holomorphic modular forms

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Holomorphic modular forms of integral weight (11F11) Automorphic forms, one variable (11F12)

Cites Work

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• Automorphic forms on \(GL(3)\). I, II
• Converse theorems for \(\text{GL}_n\)
• Quasimodular forms: an introduction
• On quasi-modular forms, almost holomorphic modular forms, and the vector-valued modular forms of Shimura
• On Dirichlet series attached to quasimodular forms
• Über die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen
• Automorphic forms on GL (2)
• On the sign changes of coefficients of general Dirichlet series
• Modular Forms

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