A SHORT NOTE ON FOURIER COEFFICIENTS OF HALF-INTEGRAL WEIGHT MODULAR FORMS

DOI10.1142/S1793042110003484zbMath1210.11054OpenAlexW2033999831MaRDI QIDQ3162623

Winfried Kohnen

Publication date: 20 October 2010

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

Full work available at URL: https://doi.org/10.1142/s1793042110003484

zbMATH Keywords

Fourier coefficientscusp form of half-integral weight

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Fourier coefficients of automorphic forms (11F30)

Related Items (15)

THE SIGN OF FOURIER COEFFICIENTS OF HALF-INTEGRAL WEIGHT CUSP FORMS ⋮ Angular changes of complex Fourier coefficients of cusp forms ⋮ Simultaneous sign change and equidistribution of signs of Fourier coefficients of two cusp forms ⋮ On a series of Koecher-Maass type attached to Siegel cusp forms ⋮ Equidistribution of signs for modular eigenforms of half integral weight ⋮ Fourier coefficients of cusp forms of half-integral weight ⋮ Sign changes of coefficients of half-integral weight Hecke eigenforms ⋮ Simultaneous sign change of Fourier-coefficients of two cusp forms ⋮ A short remark on sign changes of Fourier coefficients of half-integral weight modular forms ⋮ Sign changes of coefficients and sums of coefficients of \(L\)-functions ⋮ Some remarks on the \(q\)-exponents of generalized modular functions ⋮ ON SIGN CHANGES FOR ALMOST PRIME COEFFICIENTS OF HALF‐INTEGRAL WEIGHT MODULAR FORMS ⋮ SIGN OF FOURIER COEFFICIENTS OF MODULAR FORMS OF HALF‐INTEGRAL WEIGHT ⋮ Sign changes of Fourier coefficients of half-integral weight cusp forms ⋮ Some remarks on the coefficients of symmetric power 𝐿-functions

Cites Work

• Mean values of derivatives of modular \(L\)-series
• Real zeros of quadratic Dirichlet \(L\)-functions
• La conjecture de Weil. I
• On modular forms of half integral weight
• Sign changes of coefficients of half integral weight modular forms
• Modular forms of half integral weight and the integral of certain theta-functions

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