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

Abstract

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.

arXiv commentTo appear in the Ramanujan journal

References in corpus (5)

• Sato-Tate distributions of twists of y^2=x^5-x and y^2=x^6+1
• On conjectures of Sato-Tate and Bruinier-Kohnen
• Equidistribution of Signs for Modular Eigenforms of Half Integral Weight
• A Short Note on the Bruinier-Kohnen Sign Equidistribution Conjecture and Halász' Theorem
• Angular changes of complex Fourier coefficients of cusp forms

Cited by in corpus (2)

• On the distribution of coefficients of half-integral weight modular forms and the Bruinier-Kohnen Conjecture
• A note on the extended Bruinier-Kohnen conjecture