A remarkable basic hypergeometric identity
Number Theory
2025-02-07 v1 Mathematical Physics
Classical Analysis and ODEs
Combinatorics
math.MP
Abstract
We give a closed form for of truncated basic hypergeometric series where the base is evaluated at roots of unity.
Cite
@article{arxiv.2406.02954,
title = {A remarkable basic hypergeometric identity},
author = {Christian Krattenthaler and Wadim Zudilin},
journal= {arXiv preprint arXiv:2406.02954},
year = {2025}
}
Comments
$1+2+\dots+N = 1\cdot2\dotsb N$ pages