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arXiv · 1805.08759

Asymptotics for the Fourier coefficients of eta-quotients

Shane Chern
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Abstract

We study the asymptotics for the Fourier coefficients of a broad class of eta-quotients, $$\prod_{r=1}^R \left(\prod_{k\ge 1}\left(1-q^{m_r k}\right)\right)^{\delta_r},$$ where $m_1,\ldots,m_R$ are $R$ distinct positive integers and $\delta_1,\ldots,\delta_R$ are $R$ non-zero integers with $\sum_{r=1}^R \delta_{r}\ge 0$.

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Shane Chern. 2018-05-22. Asymptotics for the Fourier coefficients of eta-quotients. https://arxiv.org/abs/1805.08759

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