Generalized \(L\)-functions for meromorphic modular forms and their relation to the Riemann zeta function

DOI10.1016/j.jmaa.2022.126623OpenAlexW4200634322MaRDI QIDQ2079562

Ben Kane, Kathrin Bringmann

Publication date: 30 September 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.12943

zbMATH Keywords

Riemann zeta function\(L\)-functionsmeromorphic modular forms

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Forms of half-integer weight; nonholomorphic modular forms (11F37) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Cites Work

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• The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
• Heegner points and derivatives of \(L\)-series
• Periods of modular forms and Jacobi theta functions
• On divisors of modular forms
• A problem of Petersson about weight 0 meromorphic modular forms
• Über die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen
• Weil's Converse Theorem with Poles
• Harmonic Maass Forms and Mock Modular Forms: Theory and Applications
• Problems in the theory of automorphic forms to Salomon Bochner in gratitude

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