On multi-poly-Bernoulli-Carlitz numbers

2018/01/22 by Harada, Ryotaro
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1801.06916

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.

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