Variations of the distribution function of \(\varphi(n)/n\)

DOI10.1016/J.JNT.2005.10.015zbMath1203.11067OpenAlexW2065927826MaRDI QIDQ2506368

Vincent Toulmonde

Publication date: 28 September 2006

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2005.10.015

zbMATH Keywords

distribution functionEuler's totient function

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions in probabilistic number theory (11K65) Distribution functions associated with additive and positive multiplicative functions (11N60)

Related Items (3)

On the distributions of \(\sigma(n)/n\) and \(n/\varphi(n)\) ⋮ A note on the distribution of some additive functions ⋮ On the distribution of sociable numbers

Cites Work

• Unnamed Item
• On the distribution of numbers of the form \(\sigma(n)/n\) and on some related questions
• The Difference Between Consecutive Primes, II
• The Difference Between Consecutive Primes
• Module de continuité de la fonction de répartition de φ(n)/ n
• On Asymptotic Distributions of Arithmetical Functions
• Some remarks about additive and multiplicative functions

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