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Xia, B. and Cai, T. (2010) Bernoulli Numbers and Congruences for Harmonic Sums. International Journal of Number Theory, 6, 849-855.
https://doi.org/10.1142/S1793042110003265

has been cited by the following article:

• TITLE: Super Congruences Involving Alternating Harmonic Sums

  AUTHORS: Zhongyan Shen, Tianxin Cai

  KEYWORDS: Bernoulli Numbers, Alternating Harmonic Sums, Congruences, Modulo Prime Powers

  JOURNAL NAME: Advances in Pure Mathematics, Vol.10 No.10, October 29, 2020

  ABSTRACT: Let p be an odd prime, the harmonic congruence such as , and many different variations and generalizations have been studied intensively. In this note, we consider the congruences involving the combination of alternating harmonic sums, where PP denotes the set of positive integers which are prime to p. And we establish the combinational congruences involving alternating harmonic sums for positive integer n=3,4,5.