Asymptotics for $d$-fold partition diamonds and related infinite products
Number Theory
2023-11-29 v2 Combinatorics
Abstract
We prove an asymptotic formula for the number of -fold partition diamonds of 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.
Keywords
Cite
@article{arxiv.2311.11805,
title = {Asymptotics for $d$-fold partition diamonds and related infinite products},
author = {Kathrin Bringmann and William Craig and Joshua Males},
journal= {arXiv preprint arXiv:2311.11805},
year = {2023}
}
Comments
20 pages, comments welcome. Second draft corrects some remarks