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Archiv der Mathematik

, Volume 111, Issue 3, pp 257–266 | Cite as

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

  • Mohammed Amin Amri
Article
  • 39 Downloads

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.

Keywords

Simultaneous sign changes Fourier coefficients Sato–Tate conjecture. 

Mathematics Subject Classification

Primary 11F03 Secondary 11F30 11F37 

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.ACSA Laboratory, Department of Mathematics, Faculty of SciencesMohammed First UniversityOujdaMorocco

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