Angular changes of complex Fourier coefficients of cusp forms
Mohammed Amin Amri
TL;DR
This paper studies how the angles of Fourier coefficients of cusp forms change, providing insights into their signs and extending recent results in the field.
Contribution
It introduces a new analysis of angular changes in Fourier coefficients of cusp forms, extending previous work by Kohnen and collaborators.
Findings
Analysis of angular variation of Fourier coefficients
Extension of sign behavior results for cusp forms
New insights into Fourier coefficient phases
Abstract
In this paper, we investigate the "angular changes" behavior of some subfamilies of Fourier coefficients of both integral and half-integral weight holomorphic cusp forms, thus one gets information about signs of the real an imaginary parts of these subfamilies. These give an extension of some recent results of Kohnen and his collaborators.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Analytic Number Theory Research · Algebraic Geometry and Number Theory