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

Kaushik, S and Kumar, Narasimha and N, Tanabe (2018) Equidistribution of signs for Hilbert modular forms of half-integral weight. Research in Number Theory, 4 (13). ISSN 2363-9555

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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.

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