On the normal order of \(\varphi_{k+1}(n)/\varphi_k(n)\), where \(\varphi_k\) is the \(k\)-fold iterate of Euler's function

DOI10.1023/B:LIMA.0000019856.89380.72zbMath1072.11069OpenAlexW2006695232MaRDI QIDQ1881756

Imre Kátai, Karl-Heinz Indlekofer

Publication date: 15 October 2004

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:lima.0000019856.89380.72

zbMATH Keywords

asymptotics for the number of integers for which \(\varphi_k(n)\) is not divisible by a given primeBombieri-Vinogradov prime number theoremiterates of the Euler function

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions in probabilistic number theory (11K65)

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