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Some congruences on harmonic numbers and binomial sums

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Abstract

Some new congruences on harmonic numbers are established. In addition, we obtain a congruence of binomial sums, which is a generalization of that of van Hamme and confirms a conjecture of Swisher.

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Acknowledgments

The author would like to thank the referee for his/her helpful comments. This work was supported by the Initial Foundation for Scientific Research of Northwest A&F University (No. 2452015321).

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Correspondence to Bing He.

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He, B. Some congruences on harmonic numbers and binomial sums. Period Math Hung 74, 67–72 (2017). https://doi.org/10.1007/s10998-016-0155-y

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