Simultaneous sign change of Fourier-coefficients of two cusp forms

DOI10.1007/s00013-015-0829-3zbMath1339.11055OpenAlexW1900424426MaRDI QIDQ895801

Winfried Kohnen, Sanoli Gun, Purusottam Rath

Publication date: 4 December 2015

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

Full work available at URL: https://doi.org/10.1007/s00013-015-0829-3

zbMATH Keywords

Fourier coefficients of cusp formssimultaneous sign changes

Mathematics Subject Classification ID

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

Related Items (16)

The first simultaneous sign change for Fourier coefficients of Hecke-Maass forms ⋮ Simultaneous sign change and equidistribution of signs of Fourier coefficients of two cusp forms ⋮ Simultaneous non-vanishing and sign changes of Fourier coefficients of modular forms ⋮ On the first simultaneous sign change for Fourier coefficients associated with Hecke-Maass forms ⋮ On signs of Hecke eigenvalues of Siegel eigenforms ⋮ On the first simultaneous sign change and non-vanishing of Fourier coefficients of cusp forms ⋮ Simultaneous behaviour of the Fourier coefficients of two Hilbert modular cusp forms ⋮ The first simultaneous sign change and non-vanishing of Hecke eigenvalues of newforms ⋮ A note on signs of Fourier coefficients of two cusp forms ⋮ Distinguishing newforms by their Hecke eigenvalues ⋮ A variant of multiplicity one theorems for half-integral weight modular forms ⋮ On the sign changes and non-vanishing of Hecke eigenvalues associated to symmetric power \(L\)-functions ⋮ Random ordering in modulus of consecutive Hecke eigenvalues of primitive forms ⋮ 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

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