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arXiv · 2111.11123

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

Jehanne Dousse·Robert Osburn
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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.

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Jehanne Dousse, Robert Osburn. 2021-11-22. A $q$-multisum identity arising from finite chain ring probabilities. https://doi.org/10.37236/10691

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