A congruence for some generalized harmonic type sums
Abstract
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.
Source
INTERNATIONAL JOURNAL OF NUMBER THEORYVolume
14Issue
4Collections
- Makale Koleksiyonu [5200]
- Makale Koleksiyonu [5745]
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