On effective multiplicity one for modular forms of half-integral weight

DOI10.1007/s00013-024-02057-yMaRDI QIDQ6664066

Manish K. Pandey, Ratnadeep Acharya

Publication date: 16 January 2025

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

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Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) (zeta (s)) and (L(s, chi)) (11M06) Fourier coefficients of automorphic forms (11F30) Automorphic forms, one variable (11F12)

Cites Work

• Title not available (Why is that?)
• On effective determination of Maass forms from central values of Rankin-Selberg \(L\)-function
• Determining modular forms on \(\text{SL}_2(\mathbb Z)\) by central values of convolution \(L\)-functions
• A note on simultaneous nonvanishing twists
• Fourier coefficients and modular forms of half-integral weight
• On effective determination of modular forms by twists of critical \(L\)-values
• Values of L-series of modular forms at the center of the critical strip
• Coefficients of Maass forms and the Siegel zero. Appendix: An effective zero-free region, by Dorian Goldfeld, Jeffrey Hoffstein and Daniel Lieman
• Determination of modular forms by twists of critical \(L\)-values
• Determining modular forms of half-integral weight by central values of convolution \(L\)-functions
• Determination of a \(\text{GL}_2\) automorphic cuspidal representation by twists of critical \(L\)-values
• Hecke operators on \(\Gamma_0(m)\)
• Distinguishing Hecke eigenforms
• On modular signs
• Determination of GL(3) Cusp Forms by Central Values of GL(3) x GL(2) L-functions
• Determining modular forms of general level by central values of convolution L-functions
• On signs of Fourier coefficients of cusp forms

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