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arXiv · 1708.05503

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

Surjeet Kaushik·Narasimha Kumar·Naomi Tanabe
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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 to the setting of totally real number fields

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Surjeet Kaushik, Narasimha Kumar, Naomi Tanabe. 2018-02-22. Equidistribution of signs for Hilbert modular forms of half-integral weight. https://doi.org/10.1007/s40993-018-0107-0

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