Equidistribution of signs for Hilbert modular forms of half-integral weight
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.
Kaushik, Surjeet; Kumar, Narasimha; and Tanabe, Naomi, "Equidistribution of signs for Hilbert modular forms of half-integral weight" (2018). Mathematics Faculty Publications. 65.