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Some congruences on harmonic numbers and binomial sums

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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… Click to show full 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.

Keywords: congruences harmonic; binomial sums; harmonic numbers; numbers binomial

Journal Title: Periodica Mathematica Hungarica
Year Published: 2017

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