On Binomial Identities in Arbitrary Bases
Combinatorics
2017-05-11 v1 Number Theory
Abstract
We extend the digital binomial identity as given by Nguyen el al. to an identity in an arbitrary base , by introducing the ary binomial coefficients. We then study the properties of these coefficients such as orthogonality, a link to Lucas' theorem and the corresponding ary Pascal triangles.
Keywords
Cite
@article{arxiv.1602.04149,
title = {On Binomial Identities in Arbitrary Bases},
author = {Lin Jiu and Christophe Vignat},
journal= {arXiv preprint arXiv:1602.04149},
year = {2017}
}