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arXiv · 2311.11805

Asymptotics for $d$-fold partition diamonds and related infinite products

Kathrin Bringmann·William Craig·Joshua Males
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Abstract

We prove an asymptotic formula for the number of $d$-fold partition diamonds of $n$ and their Schmidt-type counterparts. In order to do so, we study the asymptotic behavior of certain infinite products. We also remark on interesting potential connections with mathematical physics and Bloch groups.

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Kathrin Bringmann, William Craig, Joshua Males. 2023-11-20. Asymptotics for $d$-fold partition diamonds and related infinite products. https://arxiv.org/abs/2311.11805

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