On a sum involving certain arithmetic functions on Piatetski-Shapiro and Beatty sequences

DOI10.15393/J3.ART.2023.12210OpenAlexW4322745459MaRDI QIDQ6169160

Teerapat Srichan

Publication date: 10 August 2023

Published in: Issues of Analysis (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/pa370

zbMATH Keywords

arithmetic functionBeatty sequencePiatetski-Shapiro sequence

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of integers in special residue classes (11N69)

Cites Work

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• On the distribution of some means concerning the Euler function
• Remark on a paper of Stux concerning squarefree numbers in non-linear sequences
• The distribution of square-free numbers of the form \([n^c\)]
• The fractional sum of small arithmetic functions
• Square-full numbers in Piatetski-Shapiro sequences
• Note on a paper by Bordellès, Dai, Heyman, Pan and Shparlinski
• On a sum involving certain arithmetic functions and the integral part function
• On the distribution of $(k,r)$-integers in Piatetski-Shapiro sequences
• On a sum involving the Euler function

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