2013 Volume 67 Issue 1 Pages 29-37
Multi-poly-Bernoulli numbers, defined by using multiple polylogarithms, are generalizations of Kaneko's poly-Bernoulli numbers. We consider multi-poly-Bernoulli numbers of negative index in particular, and give the generating function of them. As a main result, we give a formula which expresses multi-poly-Bernoullinumbers of negative index as a sum of powers.