Multi-Poly-Bernoulli Numbers and Finite Multiple Zeta Values
Kohtaro Imatomi, Masanobu Kaneko, and Erika Takeda
Graduate School of Mathematics
Motooka 744, Nishi-ku
We define the multi-poly-Bernoulli numbers slightly differently from
similar numbers given in earlier papers by Bayad, Hamahata, and
Masubuchi, and study their basic properties. Our motivation for the new
definition is the connection to finite multiple zeta values, which have
been studied by Hoffman and Zhao, among others, and are recast in a
recent work by Zagier and the second author. We write the finite
multiple zeta value in terms of our new multi-poly-Bernoulli numbers.
Full version: pdf,
(Concerned with sequences
Received October 24 2013;
revised version received February 17 2014.
Published in Journal of Integer Sequences, February 17 2014.
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