English

Identities that represent powers of positive integers using multinomial coefficients

Combinatorics 2026-03-19 v1

Abstract

In this paper, we show combinatorial identities that represent powers of positive integers using multinomial coefficients, which do not come from the multinomial theorem and the multinomial Vandermonde's convolution.

Keywords

Cite

@article{arxiv.2603.17332,
  title  = {Identities that represent powers of positive integers using multinomial coefficients},
  author = {Shoichi Kamada},
  journal= {arXiv preprint arXiv:2603.17332},
  year   = {2026}
}
R2 v1 2026-07-01T11:25:31.142Z