ON THE NUMBER OF SIGN CHANGES OF HECKE EIGENVALUES OF NEWFORMS

DOI10.1017/S1446788708000323zbMath1241.11053MaRDI QIDQ3549356

Winfried Kohnen, Yuk-Kam Lau, Igor E. Shparlinski

Publication date: 22 December 2008

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Hecke eigenvaluessign changes

Mathematics Subject Classification ID

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

Related Items (13)

Sign changes of Fourier coefficients of Maass eigenforms ⋮ On the distribution of coefficients of half-integral weight modular forms and the Bruinier–Kohnen conjecture ⋮ On signs of Fourier coefficients of Hecke-Maass cusp forms on 𝐺𝐿₃ ⋮ Fourier coefficients of cusp forms of half-integral weight ⋮ Sign changes of Fourier coefficients of Siegel cusp forms of degree two on Hecke congruence subgroups ⋮ On the first simultaneous sign change and non-vanishing of Fourier coefficients of cusp forms ⋮ On Dirichlet \(L\)-functions with periodic coefficients and Eisenstein series ⋮ Linnik-type problems for automorphic \(L\)-functions ⋮ 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 ⋮ The number of Hecke eigenvalues of same signs ⋮ On the sign changes and non-vanishing of Hecke eigenvalues associated to symmetric power \(L\)-functions ⋮ The sign changes of Fourier coefficients of Eisenstein series

Cites Work

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• Oscillations of Fourier coefficients of modular forms
• Coefficients of Maass forms and the Siegel zero. Appendix: An effective zero-free region, by Dorian Goldfeld, Jeffrey Hoffstein and Daniel Lieman
• On the signs of Fourier coefficients of cusp forms
• On cusp forms associated with binary theta series
• On the first sign change of Hecke eigenvalues of newforms
• THE FIRST NEGATIVE HECKE EIGENVALUE
• LINEAR RELATIONS BETWEEN MODULAR FORM COEFFICIENTS AND NON-ORDINARY PRIMES

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