A $q$-multisum identity arising from finite chain ring probabilities

Abstract

In this note, we prove a general identity between a $q$-multisum $B_N(q)$ and a sum of $N^2$ products of quotients of theta functions. The $q$-multisum $B_N(q)$ recently arose in the computation of a probability involving modules over finite chain rings.

7 pages, to appear in the Electronic Journal of Combinatorics

References in corpus (1)

• Hecke-type double sums, Appell-Lerch sums, and mock theta functions (I)