A generalization of a curious congruence on harmonic sums

作者:Zhou Xia*; Cai Tianxin
来源:Proceedings of the American Mathematical Society, 2007, 135(5): 1329-1333.
DOI:10.1090/S0002-9939-06-08777-6

摘要

Zhao established a curious harmonic congruence for prime p > 3:
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In this note the authors extend it to the following congruence for any prime p > 3 and positive integer n <= p - 2:
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Other improvements on congruences of harmonic sums are also obtained.