A congruence for some generalized harmonic type sums

作者:Goral Haydar*; Sertbas Doga Can
来源:International Journal of Number Theory, 2018, 14(4): 1033-1046.
DOI:10.1142/S1793042118500628

摘要

In 1862, Wolstenholme proved that the numerator of the (p - 1)th harmonic number is divisible by p(2) for any prime p >= 5. A variation of this theorem was shown by Alkan and Leudesdorf. Motivated by these results, we prove a congruence modulo some odd primes for some generalized harmonic type sums.

  • 出版日期2018-5