A Short Proof of a Concrete Sum
Number Theory
2016-04-13 v1
Abstract
We give an alternative proof of a formula that generalizes Hermite's identity. Instead involving modular arithmetic, our short proof relies on the Fourier-type expansion for the floor function and on a trigonometric formula.
Keywords
Cite
@article{arxiv.1604.03301,
title = {A Short Proof of a Concrete Sum},
author = {Samuel G. Moreno and Esther M. García-Caballero},
journal= {arXiv preprint arXiv:1604.03301},
year = {2016}
}