Geodesic
A \(q\)-multisum identity arising from finite chain ring probabilities
Jehanne Dousse1 ; Robert Osburn2
1CNRS and Université Lyon 1
2University College Dublin
The electronic journal of combinatorics, Tome 29 (2022) no. 2
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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.
DOI : 10.37236/10691
Classification : 16P10, 16P70, 33D15
Mots-clés : \(q\)-multisum, chain ring, theta functions

Jehanne Dousse  1   ; Robert Osburn  2

1 CNRS and Université Lyon 1
2 University College Dublin 
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Jehanne Dousse; Robert Osburn. A \(q\)-multisum identity arising from finite chain ring probabilities. The electronic journal of combinatorics, Tome 29 (2022) no. 2. doi: 10.37236/10691

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