Euler sums of generalized harmonic numbers and connected extensions
Number Theory
2021-03-18 v3
Abstract
This paper presents the evaluation of the Euler sums of generalized hyperharmonic numbers in terms of the famous Euler sums of generalized harmonic numbers. Moreover, several infinite series, whose terms consist of certain harmonic numbers and reciprocal binomial coefficients, are evaluated in terms of Riemann zeta values.
Cite
@article{arxiv.2006.00620,
title = {Euler sums of generalized harmonic numbers and connected extensions},
author = {Mümün Can and Levent Kargın and Ayhan Dil and Gültekin Soylu},
journal= {arXiv preprint arXiv:2006.00620},
year = {2021}
}