VARIATIONS ON A THEOREM OF DAVENPORT CONCERNING ABUNDANT NUMBERS

DOI10.1017/S0004972713000695zbMath1295.11107arXiv1306.0537MaRDI QIDQ5419387

Emily Jennings, Lola Thompson, Paul Pollack

Publication date: 6 June 2014

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.0537

zbMATH Keywords

distribution functionsum-of-divisors functionabundant numbermean values of multiplicative functions

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions; related numbers; inversion formulas (11A25) Distribution functions associated with additive and positive multiplicative functions (11N60)

Related Items (1)

ℬ-free sets and dynamics

Cites Work

• Über die Mittelwerte multiplikativer zahlentheoretischer Funktionen
• Das asymptotische Verhalten von Summen über multiplikative Funktionen. II
• Additive Arithmetical Functions and Statistical Independence

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