arXiv:2111.11123 Abstract | arXiv Analytics

arXiv:2111.11123 [math.NT]Abstract References Reviews Resources

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

Published 2021-11-22, updated 2022-03-01Version 2

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.

Comments: 7 pages, to appear in the Electronic Journal of Combinatorics

Categories: math.NT, math.CO

Subjects: 16P10, 16P70, 33D15

Keywords: probability, finite chain ring probabilities, multisum identity arising, general identity, theta functions

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