Copy For Citation
Goral H., Sertbas D. C.
INTERNATIONAL JOURNAL OF NUMBER THEORY, vol.14, no.4, pp.1033-1046, 2018 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
14
Issue:
4
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Publication Date:
2018
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Doi Number:
10.1142/s1793042118500628
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Journal Name:
INTERNATIONAL JOURNAL OF NUMBER THEORY
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Page Numbers:
pp.1033-1046
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Keywords:
Hyperharmonic numbers, Wolstenholme's type congruences, SPECIAL VALUES, ZETA-FUNCTION, NUMBERS
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Çukurova University Affiliated:
No
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.