Generalized harmonic numbers via poly-Bernoulli polynomials

Published 1 Aug 2020 in math.NT | (2008.00284v2)

Abstract: We present a relationship between the generalized hyperharmonic numbers and the poly-Bernoulli polynomials, motivated from the connections between harmonic and Bernoulli numbers. This relationship yields numerous identities for the hyper-sums and several congruences.

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