Divisibility properties of hyperharmonic numbers

DOI10.1007/s10474-017-0766-7zbMath1413.11052OpenAlexW2766838749MaRDI QIDQ1705202

Doğa Can Sertbaş, Haydar Göral

Publication date: 14 March 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-017-0766-7

zbMATH Keywords

congruence identityharmonic numberWolstenholme's theoremhyperharmonic number

Mathematics Subject Classification ID

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

Related Items (6)

Unnamed Item ⋮ Hyperharmonic integers exist ⋮ Euler sums of generalized alternating hyperharmonic numbers ⋮ Euler sums and non-integerness of harmonic type sums ⋮ Unnamed Item ⋮ Unnamed Item

Uses Software

• SageMath

Cites Work

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• Almost all hyperharmonic numbers are not integers
• Exact \(p\)-adic valuations of Stirling numbers of the first kind
• Euler-Seidel method for certain combinatorial numbers and a new characterization of Fibonacci sequence
• \(p\)-integral harmonic sums
• Approximation by special values of harmonic zeta function and log-sine integrals
• The Difference Between Consecutive Primes, II
• A p-adic Study of the Partial Sums of the Harmonic Series
• Variations on Wolstenholme's Theorem
• Special values of the Riemann zeta function capture all real numbers
• A Note on Wolstenholme's Theorem

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