On Binomial Identities in Arbitrary Bases
Lin Jiu, Christophe Vignat · arXiv (Cornell University) · 2016
We extend the digital binomial identity as given by Nguyen el al. to an identity in an arbitrary base $b$, by introducing the $b-$ary binomial coefficients. We then study the properties of these coefficients such as orthogonality, a link to Lucas' theorem and the corresponding $b-$ary Pascal triangles.