A $q$-multisum identity arising from finite chain ring probabilities
Number Theory
2024-07-22 v2 Combinatorics
Abstract
In this note, we prove a general identity between a -multisum and a sum of products of quotients of theta functions. The -multisum recently arose in the computation of a probability involving modules over finite chain rings.
Keywords
Cite
@article{arxiv.2111.11123,
title = {A $q$-multisum identity arising from finite chain ring probabilities},
author = {Jehanne Dousse and Robert Osburn},
journal= {arXiv preprint arXiv:2111.11123},
year = {2024}
}
Comments
7 pages, to appear in the Electronic Journal of Combinatorics