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Simultaneous sign change and equidistribution of signs of Fourier coefficients of two cusp forms

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Abstract

We study the simultaneous sign change of Fourier coefficients of a pair of distinct normalized newforms of integral weight supported on primes power indices, we also prove some equidistribution results. Finally, we consider an analogous question for Fourier coefficients of a pair of half-integral weight Hecke eigenforms.

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Authors and Affiliations

  1. ACSA Laboratory, Department of Mathematics, Faculty of Sciences, Mohammed First University, Oujda, Morocco

    Mohammed Amin Amri

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  1. Mohammed Amin Amri
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Correspondence to Mohammed Amin Amri.

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Amri, M.A. Simultaneous sign change and equidistribution of signs of Fourier coefficients of two cusp forms. Arch. Math. 111, 257–266 (2018). https://doi.org/10.1007/s00013-018-1203-z

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  • DOI: https://doi.org/10.1007/s00013-018-1203-z

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