On the congruence of finite sums involving generalized harmonic numbers modulo $p^2$
Volume 126 / 2021
Annales Polonici Mathematici 126 (2021), 279-292
MSC: Primary 11A07, 11Y40; Secondary 11A41, 11M41.
DOI: 10.4064/ap210107-5-5
Published online: 16 August 2021
Abstract
We investigate congruence relationships of particular finite sums involving generalized harmonic numbers. We suggest a simpler and more transparent method to analyse these sums and present several additional results for certain special cases.
