Mathematics / Matematik

Permanent URI for this collectionhttps://hdl.handle.net/11147/8

Browse

Filters

20211

Settings

Author: search.filters.author.Sertbaş, Doğa CanSubject: search.filters.subject.Class number

Search Results

Now showing 1 - 1 of 1
  • Article
    Citation - WoS: 1
    Citation - Scopus: 1
    Applications of Class Numbers and Bernoulli Numbers To Harmonic Type Sums
    (Korean Mathematical Society, 2021) Göral, Haydar; Sertbaş, Doğa Can
    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.