Equidistribution of signs for Hilbert modular forms of half-integral weight

Abstract

We prove an equidistribution of signs for the Fourier coefficients of Hilbert modular forms of half-integral weight. Our study focuses on certain subfamilies of coefficients that are accessible via the Shimura correspondence. This is a generalization of the result of Inam and Wiese to the setting of totally real number fields

arXiv commentTo appear in Research in Number Theory

References in corpus (3)

• Notes on the arithmetic of Hilbert modular forms
• Equidistribution of Signs for Modular Eigenforms of Half Integral Weight
• A Short Note on the Bruinier-Kohnen Sign Equidistribution Conjecture and Halász' Theorem

Cited by in corpus (5)

• Fast computation of half-integral weight modular forms
• On the distribution of coefficients of half-integral weight modular forms and the Bruinier-Kohnen Conjecture
• Simultaneous behaviour of the Fourier coefficients of two Hilbert modular cusp forms
• On the size of the Fourier coefficients of Hilbert cusp forms
• On non-vanishing and sign changes of the Fourier coefficients of Hilbert cusp forms