On b-ary binomial coefficients with negative entries
Number Theory
2019-09-25 v1 Combinatorics
Abstract
Abstract. We generalize the -ary binomial coefficients with negative entries, which is based on the generating function obtained in early work. Besides an explicit expression involving the restricted partition, several properties such as symmetry, congruence and Pascal-like recurrence are studies. Finally, we also provide two different generalizations, partially satisfying Pascal-like recurrences.
Keywords
Cite
@article{arxiv.1909.10592,
title = {On b-ary binomial coefficients with negative entries},
author = {Lin Jiu and Diane Y. H. Shi},
journal= {arXiv preprint arXiv:1909.10592},
year = {2019}
}