A remarkable basic hypergeometric identity
Abstract
We give a closed form for $quotients$ of truncated basic hypergeometric series where the base $q$ is evaluated at roots of unity.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2024
- DOI:
- 10.48550/arXiv.2406.02954
- arXiv:
- arXiv:2406.02954
- Bibcode:
- 2024arXiv240602954K
- Keywords:
-
- Mathematics - Number Theory;
- Mathematical Physics;
- Mathematics - Classical Analysis and ODEs;
- Mathematics - Combinatorics;
- 11A07;
- 11B65;
- 11R18;
- 33D15;
- 33F10
- E-Print:
- $1+2+\dots+N = 1\cdot2\dotsb N$ pages