COMPORTEMENT AU VOISINAGE DE 1 DE LA FONCTION DE RÉPARTITION DE φ(n)/n

DOI10.1142/S1793042109001414zbMath1263.11087MaRDI QIDQ3406090

Vincent Toulmonde

Publication date: 12 February 2010

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

zbMATH Keywords

functional equationsdistribution functionsdifference-differential equationsprobabilistic number theoryintegers free of small prime factors

Mathematics Subject Classification ID

Distribution of integers with specified multiplicative constraints (11N25) Distribution of primes (11N05) Arithmetic functions in probabilistic number theory (11K65) Distribution functions associated with additive and positive multiplicative functions (11N60)

Related Items (3)

A NOTE ON THE DISTRIBUTION FUNCTION OF ⋮ A note on the distribution of some additive functions ⋮ On the distribution of the density of maximal order elements in general linear groups

Cites Work

• Über die Häufigkeit vollkommener Zahlen
• On the local behavior of the distribution of Euler's totient function
• On the distribution of numbers of the form \(\sigma(n)/n\) and on some related questions
• On a class of differential-difference equations arising in number theory
• Module de continuité de la fonction de répartition de φ(n)/ n
• On the Smoothness of the Asymptotic Distribution of Additive Arithmetical Functions
• Some remarks about additive and multiplicative functions

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