Sign changes of Fourier coefficients of cusp forms supported on prime power indices

DOI10.1142/S1793042114500626zbMath1304.11022MaRDI QIDQ2931744

Winfried Kohnen, Yves Martin

Publication date: 27 November 2014

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

zbMATH Keywords

modular formsFourier coefficientssign changes

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11)

Related Items (11)

Angular changes of complex Fourier coefficients of cusp forms ⋮ On sign changes of eigenvalues of Siegel cusp forms of genus 2 in prime powers ⋮ On the first sign change of Fourier coefficients of cusp forms at sum of two squares ⋮ A note on signs of Fourier coefficients of two cusp forms ⋮ Distinguishing newforms by their Hecke eigenvalues ⋮ Signs of Fourier coefficients of cusp forms at integers represented by an integral binary quadratic form ⋮ Signs of Fourier coefficients of cusp form at sum of two squares ⋮ On the sign changes and non-vanishing of Hecke eigenvalues associated to symmetric power \(L\)-functions ⋮ On the simultaneous sign changes of Hecke eigenvalues over an integral binary quadratic form ⋮ Sign changes in restricted coefficients of Hilbert modular forms ⋮ Sign changes of certain arithmetical function at prime powers

Cites Work

• A short note on sign changes
• On an open problem of Sankaranarayanan
• Irreducibility of Hecke polynomials
• Fourier coefficients of cusp forms of half-integral weight
• Behavior of automorphic \(L\)-functions at the center of the critical strip
• Sign changes of Hecke eigenvalues of Siegel cusp forms of degree 2
• The irreducibility of some level 1 Hecke polynomials

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