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arXiv · 2411.05941

Vanishing properties of Fourier coefficients of holomorphic $\eta$-quotients

Kathrin Bringmann·Guoniu Han·Bernhard Heim·Ben Kane
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Abstract

In this paper, we study vanishing of Fourier coefficients of holomorphic $\eta$-quotients. We investigate examples of two different types: the first one involves integral weight CM newforms, while the second one involves half-integral weight $\eta$-quotients associated with sums of squares and Hurwitz class numbers.

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Kathrin Bringmann, Guoniu Han, Bernhard Heim, Ben Kane. 2024-11-08. Vanishing properties of Fourier coefficients of holomorphic $\eta$-quotients. https://arxiv.org/abs/2411.05941

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