On Binomial Identities in Arbitrary Bases
  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. 
Lin Jiu and Christophe Vignat
math.CO math.NT