A congruence for some generalized harmonic type sums
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DOI: 10.1142/s1793042118500628
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.… read more here.
Keywords: generalized harmonic; type sums; harmonic type; congruence generalized ... See more keywords
p-Adic q-Twisted Dedekind-Type Sums
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DOI: 10.3390/sym13091756
Abstract: The main purpose of this paper is to define p-adic and q-Dedekind type sums. Using the Volkenborn integral and the Teichmüller character representations of the Bernoulli polynomials, we give reciprocity law of these sums. These… read more here.
Keywords: type sums; reciprocity law; dedekind type; adic twisted ... See more keywords