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arXiv · 1912.10341

Nonmodular infinite products and a conjecture of Seo and Yee

Shane Chern
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Abstract

We will tackle a conjecture of S. Seo and A. J. Yee, which says that the series expansion of $1/(q,-q^3;q^4)_\infty$ has nonnegative coefficients. Our approach relies on an approximation of the generally nonmodular infinite product $1/(q^a;q^M)_\infty$, where $M$ is a positive integer and $a$ is any of $1,2,\ldots,M$.

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Shane Chern. 2019-12-21. Nonmodular infinite products and a conjecture of Seo and Yee. https://doi.org/10.1016/j.aim.2023.108932

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