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In 1862, Wolstenholme proved that the numerator of the (p − 1)th harmonic number is divisible by p2 for any prime p ≥ 5. A variation of this theorem was… Click to show full abstract
In 1862, Wolstenholme proved that the numerator of the (p − 1)th harmonic number is divisible by p2 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.
Keywords:
generalized harmonic;
type sums;
harmonic type;
congruence generalized
Journal Title: International Journal of Number Theory
Year Published: 2017
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Journal Title: International Journal of Number Theory
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!