On the Congruence of Finite Generalized Harmonic Numbers Sums Modulo $p^2$

Abstract

In this paper we investigate congruence relationships of particular finite generalized harmonic numbers sums. We suggest more transparent and simpler method to analyse these sums and present several additional results for certain special cases.

References in corpus (2)

• Wolstenholme's theorem: Its Generalizations and Extensions in the last hundred and fifty years (1862--2012)
• On some congruences using multiple harmonic sums of length three and four