Equidistribution of signs for Hilbert modular forms of half-integral weight
Number Theory
2020-01-28 v2
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
Keywords
Cite
@article{arxiv.1708.05503,
title = {Equidistribution of signs for Hilbert modular forms of half-integral weight},
author = {Surjeet Kaushik and Narasimha Kumar and Naomi Tanabe},
journal= {arXiv preprint arXiv:1708.05503},
year = {2020}
}
Comments
To appear in Research in Number Theory