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arxiv: 1510.05799 · v2 · pith:4GN5BGSXnew · submitted 2015-10-20 · 🧮 math.NT

Incomplete poly-Bernoulli numbers associated with incomplete Stirling numbers

Takao Komatsu , Kalman Liptai , Istv\'an Mez\H{o} This is my paper
classification 🧮 math.NT
keywords numbersassociatedincompletepoly-bernoullistirlingapplicationarithmeticalcombinatorial
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By using the associated and restricted Stirling numbers of the second kind, we give some generalizations of the poly-Bernoulli numbers. We also study their arithmetical and combinatorial properties. As an application, at the end of the paper we present a new infinite series representation of the Riemann zeta function via the Lambert $W$.

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