Analysis of Fourier coefficients in holomorphic η-quotients, highlighting integral and half-integral weight forms.
In this paper, we study vanishing of Fourier coefficients of holomorphic η-quotients. We investigate examples of two different types: the first one involves integral weight CM newforms, while the second one involves half-integral weight η-quotients associated with sums of squares and Hurwitz class numbers.
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Bringmann et al. (2025) studied this question.
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