Finite sums associated with some polynomial identities
Combinatorics
2025-04-02 v1
Abstract
In this paper, we present a general framework for the derivation of interesting finite combinatorial sums starting with certain classes of polynomial identities. The sums that can be derived involve products of binomial coefficients and also harmonic numbers and squared harmonic numbers. We apply the framework to discuss combinatorial sums associated with some prominent polynomial identities from the recent past.
Cite
@article{arxiv.2504.00004,
title = {Finite sums associated with some polynomial identities},
author = {Kunle Adegoke and Robert Frontczak and Karol Gryszka},
journal= {arXiv preprint arXiv:2504.00004},
year = {2025}
}