Tight cylindric partitions
Combinatorics
2025-08-22 v1 Quantum Algebra
Representation Theory
Abstract
In this note, we initiate the study of generating functions for tight cylindric partitions. For general (i.e., -rowed for ) tight cylindric partitions, we provide analogs of the Corteel--Welsh functional equations. We prove closed forms for the bivariate generating functions for 2-rowed tight cylindric partitions. We also show that these partitions are in bijection with a class of partitions studied by Dousse, Hardiman, and Konan.
Keywords
Cite
@article{arxiv.2508.15113,
title = {Tight cylindric partitions},
author = {Shashank Kanade and Matthew C. Russell},
journal= {arXiv preprint arXiv:2508.15113},
year = {2025}
}