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Super Congruences Involving Alternating Harmonic Sums
Department of Mathematics, Zhejiang International Studies University, Hangzhou, China
Department of Mathematics, Zhejiang University, Hangzhou, China
- 1 Department of Mathematics, Zhejiang International Studies University, Hangzhou, China
- 2 Department of Mathematics, Zhejiang University, Hangzhou, China
Advances in Pure Mathematics·Volume 10 (2020)·Pages 611–622·Published 19 October 2020·DOI10.4236/apm.2020.1010037
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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 P P 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.
KeywordsBernoulli NumbersAlternating Harmonic SumsCongruencesModulo Prime Powers
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