Mathematics / Matematik

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

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Subject: search.filters.subject.Class number

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  • Article
    Class Number and the Special Values of L-Functions
    (Romanian Academy, 2022) Göral, Haydar
    We give infinitely many explicit new representations of the class number of imag inary quadratic fields in terms of certain trigonometric series. Our result relies on a hybrid between power series and trigonometric series. Furthermore, in some cases we prove that the special values of Dirichlet L-functions can be evaluated as certain finite sums.
  • 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.