Ryotaro Harada
Published 2018-01-22Version 1
We introduce multi-poly-Bernoulli-Carlitz numbers, function field analogues of multi-poly-Bernoulli numbers of Imatomi-Kaneko-Takeda. %which were introduced by several researchers independently. 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.
Sum formula for finite multiple zeta values
Kummer-type congruences for multi-poly-Bernoulli numbers
Relations between Multi-Poly-Bernoulli numbers and Poly-Bernoulli numbers of negative index
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