English

On multi-poly-Bernoulli-Carlitz numbers

Number Theory 2018-03-28 v2

Abstract

We introduce multi-poly-Bernoulli-Carlitz numbers, function field analogues of multi-poly-Bernoulli numbers of Imatomi-Kaneko-Takeda. We explicitly describe multi-poly-Bernoulli Carlitz numbers in terms of the Carlitz factorial and the Stirling-Carlitz numbers of the second kind and also show their relationships with function field analogues of finite multiple zeta values.

Keywords

Cite

@article{arxiv.1801.06916,
  title  = {On multi-poly-Bernoulli-Carlitz numbers},
  author = {Ryotaro Harada},
  journal= {arXiv preprint arXiv:1801.06916},
  year   = {2018}
}

Comments

15 pages

R2 v1 2026-06-22T23:51:27.080Z