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arXiv · 1711.02118

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

Mohammed Amin Amri
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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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Mohammed Amin Amri. 2018-05-23. Simultaneous sign change and equidistribution of signs of Fourier coefficients of two cusp forms. https://doi.org/10.1007/s00013-018-1203-z

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