2019/07/31 by Kaneko, Masanobu, Pallewatta, Maneka, Tsumura, Hirofumi
#11B68 (Primary) #11M32 #11M99 (Secondary) #FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.1907.13441
We introduce and study a `level two' generalization of the poly-Bernoulli numbers, which may also be regarded as a generalization of the cosecant numbers. We prove a recurrence relation, two exact formulas, and a duality relation for negative upper-index numbers.