Are the hyperharmonics integral? A partial answer via the small intervals containing primes

DOI10.1016/j.crma.2010.12.015zbMath1226.11031OpenAlexW1976194947MaRDI QIDQ627730

Hacène Belbachir, Rachid Aït Amrane

Publication date: 3 March 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.12.015

zbMATH Keywords

integralityhyperharmonic numbers

Mathematics Subject Classification ID

Special sequences and polynomials (11B83)

Related Items (6)

Almost all hyperharmonic numbers are not integers ⋮ Harmonic number identities via polynomials with \(r\)-Lah coefficients ⋮ Hyperharmonic integers exist ⋮ Evaluation of Euler-like sums via Hurwitz zeta values ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• The generalization and proof of Bertrand's postulate
• Short effective intervals containing primes
• About the Non-Integer Property of Hyperharmonic Numbers
• Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x). II
• Almost all short intervals containing prime numbers
• On the interval containing at least one prime number

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