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

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 we...

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Bibliographic Details
Published in:Archiv der Mathematik 2018-09, Vol.111 (3), p.257-266
Main Author: Amri, Mohammed Amin
Format: Article
Language:English
Subjects:
Coefficients
Integrals
Mathematics
Mathematics and Statistics
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Summary: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.
ISSN:0003-889X
1420-8938
DOI:10.1007/s00013-018-1203-z