Oscillatory behavior and equidistribution of signs of Fourier coefficients of cusp forms

In this paper, we discuss questions related to the oscillatory behavior and the equidistribution of signs for certain subfamilies of Fourier coefficients of integral weight newforms with a non-trivial nebentypus as well as Fourier coefficients of eigenforms of half-integral weight reachable by the S...

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Bibliographic Details
Published in:The Ramanujan journal 2019-12, Vol.50 (3), p.505-526
Main Author: Amri, Mohammed Amin
Format: Article
Language:English
Subjects:
Coefficients
Combinatorics
Field Theory and Polynomials
Fourier Analysis
Functions of a Complex Variable
Integrals
Mathematics
Mathematics and Statistics
Number Theory
Weight
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Summary:In this paper, we discuss questions related to the oscillatory behavior and the equidistribution of signs for certain subfamilies of Fourier coefficients of integral weight newforms with a non-trivial nebentypus as well as Fourier coefficients of eigenforms of half-integral weight reachable by the Shimura correspondence.
ISSN:1382-4090
1572-9303
DOI:10.1007/s11139-018-0078-8