Almost all hyperharmonic numbers are not integers

DOI10.1016/j.jnt.2016.07.023zbMath1396.11050OpenAlexW2509653361WikidataQ114157406 ScholiaQ114157406MaRDI QIDQ331145

Doğa Can Sertbaş, Haydar Göral

Publication date: 26 October 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.07.023

zbMATH Keywords

harmonic numbershyperharmonic numbersprime number theory

Mathematics Subject Classification ID

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

Related Items

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Uses Software

• SageMath

Cites Work

• Number of prime ideals in short intervals
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• Euler-Seidel method for certain combinatorial numbers and a new characterization of Fibonacci sequence
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• The Difference Between Consecutive Primes, II
• About the Non-Integer Property of Hyperharmonic Numbers
• The power of a prime that divides a generalized binomial coefficient.
• Variations on Wolstenholme's Theorem
• Special values of the Riemann zeta function capture all real numbers
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