Binomial determinants: some closed formulae
Combinatorics
2026-04-01 v1 Commutative Algebra
Abstract
This paper is intended to give closed formulae for binomial determinants with consecutive or almost consecutive rows or columns, as well as calculating the generator of left nullspaces defined by some binomial matrices. In the meantime, we reprove, by different means, the positivity of binomial determinants shown by Gessel and Viennot.
Cite
@article{arxiv.2603.29431,
title = {Binomial determinants: some closed formulae},
author = {Laura González and Francesc Planas-Vilanova},
journal= {arXiv preprint arXiv:2603.29431},
year = {2026}
}