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Title: Applications of class numbers and bernoulli numbers to harmonic type sums
Authors: Göral, Haydar
Sertbaş, Doğa Can
Keywords: Harmonic numbers
Irregular primes
Harmonic numbers
Class number
Issue Date: 2021
Publisher: Korean Mathematical Society
Abstract: Divisibility properties of harmonic numbers by a prime number p have been a recurrent topic. However, finding the exact p-adic orders of them is not easy. Using class numbers of number fields and Bernoulli numbers, we compute the exact p-adic orders of harmonic type sums. Moreover, we obtain an asymptotic formula for generalized harmonic numbers whose p-adic orders are exactly one.
ISSN: 1015-8634
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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