Euler sums and non-integerness of harmonic type sums

DOI10.15672/hujms.544489zbMath1488.11067OpenAlexW2962718271WikidataQ128129992 ScholiaQ128129992MaRDI QIDQ5160556

Doğa Can Sertbaş, Haydar Göral

Publication date: 29 October 2021

Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15672/hujms.544489

zbMATH Keywords

Euler sumsharmonic numbershyperharmonic numbers

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Other combinatorial number theory (11B75) Special sequences and polynomials (11B83)

Related Items (3)

Euler sums of generalized harmonic numbers and connected extensions ⋮ Unnamed Item ⋮ Unnamed Item

Uses Software

• SageMath

Cites Work

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• Almost all hyperharmonic numbers are not integers
• Euler sums of hyperharmonic numbers
• Dirichlet series related to the Riemann zeta function
• Divisibility properties of hyperharmonic numbers
• Approximation by special values of harmonic zeta function and log-sine integrals
• The Difference Between Consecutive Primes, II
• About the Non-Integer Property of Hyperharmonic Numbers
• Evaluation of Euler-like sums via Hurwitz zeta values
• A congruence for some generalized harmonic type sums
• Explicit evaluation of Euler sums

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