On the distribution of some means concerning the Euler function

DOI10.7169/facm/1229696579zbMath1194.11077OpenAlexW2016061210MaRDI QIDQ1038648

Jean-Marc Deshouillers, Florian Luca

Publication date: 18 November 2009

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1229696579

zbMATH Keywords

arithmetic meangeometric meanEuler functionharmonic meandense modulo 1square root mean

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution modulo one (11J71) General theory of distribution modulo (1) (11K06) Arithmetic functions in probabilistic number theory (11K65)

Related Items (3)

On a sum involving certain arithmetic functions on Piatetski-Shapiro and Beatty sequences ⋮ On a question of Luca and Schinzel over Segal-Piatetski-Shapiro sequences ⋮ Density Modulo 1 of a Sequence Associated with a Multiplicative Function Evaluated at Polynomial Arguments

Cites Work

• A remark on a paper of F. Luca and A. Sankaranarayanan
• On positive integers \(n\) such that \(\varphi(1)+\varphi(2)+\cdots+ \varphi(n)\) is a square
• On the sum of the first \(n\) primes being a square
• ON THE SUM OF THE FIRST n PRIMES

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