Generalized harmonic numbers via poly-Bernoulli polynomials
Number Theory
2021-05-11 v2
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.
Cite
@article{arxiv.2008.00284,
title = {Generalized harmonic numbers via poly-Bernoulli polynomials},
author = {Levent Kargın and Mehmet Cenkci and Ayhan Dil and Mümün Can},
journal= {arXiv preprint arXiv:2008.00284},
year = {2021}
}