A NEW SERIES FOR THE DENSITY OF ABUNDANT NUMBERS

DOI10.1142/S1793042113500814zbMath1288.11094OpenAlexW1965514547WikidataQ114072047 ScholiaQ114072047MaRDI QIDQ5746417

Mitsuo Kobayashi

Publication date: 18 February 2014

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

Full work available at URL: https://doi.org/10.1142/s1793042113500814

zbMATH Keywords

natural densityabundant numbers

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Distribution functions associated with additive and positive multiplicative functions (11N60)

Related Items (9)

The reciprocal sum of primitive nondeficient numbers ⋮ Ergodic and Statistical Properties of $\B$-Free Numbers ⋮ Unnamed Item ⋮ The Erdős conjecture for primitive sets ⋮ ℬ-free sets and dynamics ⋮ A generalization of a series for the density of abundant numbers ⋮ Unnamed Item ⋮ On integers \(n\) for which \(\sigma (2n + 1) \geq \sigma (2n)\) ⋮ Some arithmetic properties of the sum of proper divisors and the sum of prime divisors

Cites Work

• Bounds for the Density of Abundant Integers
• On the density of some sequences of integers
• Über die Dichte abundanter Zahlen

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