Values of the Euler function free of \(k\)th powers

DOI10.1016/j.jnt.2006.01.011zbMath1193.11090OpenAlexW1987465133MaRDI QIDQ2472393

William D. Banks, Francesco Pappalardi

Publication date: 21 February 2008

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2006.01.011

zbMATH Keywords

asymptotic formulasquarefree integersEuler phi-function

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37)

Related Items (2)

Powerfree sums of proper divisors ⋮ Counting 3-dimensional algebraic tori over \(\mathbb{Q}\)

Cites Work

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• Das asymptotische Verhalten von Summen über multiplikative Funktionen
• On the number of restricted prime factors of an integer. I
• Square-free values of the Carmichael function.
• Approximation of singular series and automata
• Congruences and rational exponential sums with the Euler function
• Über Primzahlreihen nebst Anwendung auf ein elementares Dichteproblem
• On the distribution of amicable numbers.
• Elementary Methods in Number Theory
• The Number of Representations of an Integer as the Sum of a Prime and a k-Free Integer

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