Title

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

Authors

Surjeet Kaushik, Indian Institute of Technology Hyderabad
Narasimha Kumar, Indian Institute of Technology Hyderabad
Naomi Tanabe, Bowdoin College

Document Type

Article

Publication Date

6-1-2018

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 (Arch Math (Basel) 101:331–339, 2013) to the setting of totally real number fields.

Recommended Citation

Kaushik, Surjeet; Kumar, Narasimha; and Tanabe, Naomi, "Equidistribution of signs for Hilbert modular forms of half-integral weight" (2018). Mathematics Faculty Publications. 65.
https://digitalcommons.bowdoin.edu/mathematics-faculty-publications/65