About the Non-Integer Property of Hyperharmonic Numbers

zbMath1212.11035arXiv0811.0043MaRDI QIDQ3653836

István Mezö

Publication date: 29 December 2009

Full work available at URL: https://arxiv.org/abs/0811.0043

zbMATH Keywords

harmonic numbersintegralityhyperharmonic numberssum of digits

Mathematics Subject Classification ID

Special sequences and polynomials (11B83)

Related Items (10)

Almost all hyperharmonic numbers are not integers ⋮ Are the hyperharmonics integral? A partial answer via the small intervals containing primes ⋮ Harmonic number identities via polynomials with \(r\)-Lah coefficients ⋮ Hyperharmonic integers exist ⋮ Evaluation of Euler-like sums via Hurwitz zeta values ⋮ A congruence for some generalized harmonic type sums ⋮ Unnamed Item ⋮ Euler sums and non-integerness of harmonic type sums ⋮ Unnamed Item ⋮ Unnamed Item

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