On alternating sums of binomial coefficients and $q$-binomial coefficients
Number Theory
2016-06-07 v2
Abstract
In this paper we shall evaluate two alternating sums of binomial coefficients by a combinatorial argument. Moreover, by combining the same combinatorial idea with partition theoretic techniques, we provide -analogues involving the -binomial coefficients.
Keywords
Cite
@article{arxiv.1603.03881,
title = {On alternating sums of binomial coefficients and $q$-binomial coefficients},
author = {Mohamed El Bachraoui},
journal= {arXiv preprint arXiv:1603.03881},
year = {2016}
}
Comments
Accepted in EJC