On Dirichlet series attached to quasimodular forms

DOI10.1016/j.jnt.2019.01.016zbMath1455.11069OpenAlexW2915034600WikidataQ128409888 ScholiaQ128409888MaRDI QIDQ2420383

Karam Deo Shankhadhar, Ajit Bhand

Publication date: 6 June 2019

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2019.01.016

zbMATH Keywords

Dirichlet seriesconverse theoremquasimodular formssign changes

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)

Related Items (3)

A converse theorem for quasimodular forms ⋮ Explicit transformations of certain Lambert series ⋮ Meromorphic quasi-modular forms and their \(L\)-functions

Cites Work

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• Partition zeta functions
• Dirichlet series of Rankin-Cohen brackets
• Automorphic forms on \(GL(3)\). I, II
• Converse theorems for \(\text{GL}_n\)
• Quasimodular forms: an introduction
• The character of the infinite wedge representation
• Partitions, quasimodular forms, and the Bloch-Okounkov theorem
• Über die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen
• Automorphic forms on GL (2)
• 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)
• Arithmetic of partitions and the $q$-bracket operator
• SOME REMARKS ON RANKIN–COHEN BRACKETS OF EIGENFORMS
• On the sign changes of coefficients of general Dirichlet series

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