By Shane Chern

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*.

February 24, 2023

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Nonmodular infinite products and a conjecture of Seo and Yee

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