On the \(p\)-adic valuation of harmonic numbers

DOI10.1016/j.jnt.2016.02.020zbMath1338.11036OpenAlexW2318575377WikidataQ56169397 ScholiaQ56169397MaRDI QIDQ273430

Carlo Sanna

Publication date: 22 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.02.020

zbMATH Keywords

asymptotic densityharmonic numbers\(p\)-adic valuationlogarithmic density

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Density, gaps, topology (11B05)

Related Items (14)

Small values of signed harmonic sums ⋮ On Generalized Harmonic Numbers ⋮ Unnamed Item ⋮ On the denominators of harmonic numbers ⋮ Unnamed Item ⋮ On the k-regularity of the k-adic valuation of Lucas sequences ⋮ On the denominators of harmonic numbers. II. ⋮ On certain properties of harmonic numbers ⋮ On the \(p\)-adic valuation of Stirling numbers of the first kind ⋮ On the \(p\)-adic properties of Stirling numbers of the first kind ⋮ Unnamed Item ⋮ 2-Adic valuations of Stirling numbers of the first kind ⋮ On the denominators of harmonic numbers. IV ⋮ Unnamed Item

Cites Work

• \(p\)-integral harmonic sums
• On 3-adic Valuations of Generalized Harmonic Numbers
• A p-adic Study of the Partial Sums of the Harmonic Series
• An Introduction to Benford's Law
• Unnamed Item
• Unnamed Item

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