Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2021
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2111.11123 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916329804529664 |
|---|---|
| author | Dousse, Jehanne Osburn, Robert |
| author_facet | Dousse, Jehanne Osburn, Robert |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_11123 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | A $q$-multisum identity arising from finite chain ring probabilities Dousse, Jehanne Osburn, Robert Number Theory Combinatorics 16P10, 16P70, 33D15 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. |
| title | A $q$-multisum identity arising from finite chain ring probabilities |
| topic | Number Theory Combinatorics 16P10, 16P70, 33D15 |
| url | https://arxiv.org/abs/2111.11123 |