Sign patterns of Fourier coefficients of modular forms

2025/12/05 by Booker, Andrew R.
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2512.05945

Abstract

We give conditions under which a self-dual holomorphic cusp form is determined up to scalar multiplication by the signs of its Fourier coefficients.

Citations

• Exceptional zeros of Rankin-Selberg L-functions and joint Sato-Tate distributions
• The Sato-Tate conjecture for Hilbert modular forms

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