A $q$-Multisum Identity Arising from Finite Chain Ring Probabilities

  • Jehanne Dousse
  • Robert Osburn
DOI: https://doi.org/10.37236/10691

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.

Published
2022-04-01
Issue
Volume 29, Issue 2 (2022)
Article Number
P2.4