On the distributions of \(\sigma(n)/n\) and \(n/\varphi(n)\)

DOI10.1216/RMJ-2013-43-3-713zbMath1368.11105MaRDI QIDQ2393424

Emre Alkan

Publication date: 8 August 2013

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1375361971

zbMATH Keywords

distributionsdensityarithmetic progressionssum of divisors functionEuler's totient function\(l\)-free integers

Mathematics Subject Classification ID

Distribution of integers with specified multiplicative constraints (11N25) Distribution functions associated with additive and positive multiplicative functions (11N60)

Related Items (1)

Distribution of averages of Ramanujan sums

Cites Work

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• On the distribution of numbers of the form \(\sigma(n)/n\) and on some related questions
• A note on Mertens' formula for arithmetic progressions
• Variations of the distribution function of \(\varphi(n)/n\)
• Sadi Carnot and the Cagnard Engine
• Diophantine approximation with arithmetic functions, II
• Diophantine approximation with arithmetic functions, I
• The distribution functions of 𝜎(𝑛)/𝑛 and 𝑛/𝜑(𝑛)
• Module de continuité de la fonction de répartition de φ(n)/ n
• Additive Arithmetical Functions and Statistical Independence
• Some remarks about additive and multiplicative functions

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