A Short Proof of Knuth's Old Sum
General Mathematics
2025-06-10 v2
Abstract
We give a short proof of the well-known Knuth's old sum and provide some generalizations. Our approach utilizes the binomial theorem and integration formulas derived using the Beta function. Several new polynomial identities and combinatorial identities are derived.
Keywords
Cite
@article{arxiv.2412.00040,
title = {A Short Proof of Knuth's Old Sum},
author = {Kunle Adegoke},
journal= {arXiv preprint arXiv:2412.00040},
year = {2025}
}
Comments
23 pages, no figures or tables