Sign of Fourier coefficients of modular forms of half integral weight

Abstract

We establish lower bounds for (i) the numbers of positive and negative terms and (ii) the number of sign changes in the sequence of Fourier coefficients at squarefree integers of a half-integral weight modular Hecke eigenform.

References in corpus (3)

• Equidistribution of Signs for Modular Eigenforms of Half Integral Weight
• A Short Note on the Bruinier-Kohnen Sign Equidistribution Conjecture and Halász' Theorem
• Smooth numbers in short intervals

Cited by in corpus (4)

• Simultaneous sign change and equidistribution of signs of Fourier coefficients of two cusp forms
• Sign changes of fourier coefficients of modular forms of half integral weight, 2
• Distribution of toric periods of modular forms on definite quaternion algebras
• On Modular Signs Of Half Integral Weights