Higher rank elliptic partition functions and multisymmetric elliptic functions
Mathematical Physics
2025-01-28 v1 math.MP
Abstract
We introduce and investigate a class of partition functions which is an extension of the one introduced by Foda-Manabe. We characterize the partition functions by a nested version of Izergin-Korepin analysis, and determine the explicit forms, for each of the rational, trigonometric and elliptic versions. The resulting multisymmetric functions can be regarded as extensions of the rational, trigonometric and elliptic weight functions.
Keywords
Cite
@article{arxiv.2412.13561,
title = {Higher rank elliptic partition functions and multisymmetric elliptic functions},
author = {Allan John Gerrard and Kohei Motegi and Kazumitsu Sakai},
journal= {arXiv preprint arXiv:2412.13561},
year = {2025}
}
Comments
34 pages, 17 figures