Combinatorial sums derived from properties of Legendre polynomials
Number Theory
2026-05-01 v2
Abstract
From an identity connecting a combinatorial sum and Legendre polynomials, we derive closed forms for a number of combinatorial sums. Some of them are obtained via results about the integrals of functions associated with Legendre polynomials.
Cite
@article{arxiv.2604.25981,
title = {Combinatorial sums derived from properties of Legendre polynomials},
author = {Michel Bataille and Robert Frontczak},
journal= {arXiv preprint arXiv:2604.25981},
year = {2026}
}