DISTRIBUTION OF r-FREE INTEGERS OVER A FLOOR FUNCTION SET

DOI10.1017/s0004972722001241OpenAlexW4309677738MaRDI QIDQ6093249

Teerapat Srichan, Vichian Laohakosol, Pinthira Tangsupphathawat

Publication date: 6 September 2023

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972722001241

zbMATH Keywords

floor function\(r\)-free integer

Mathematics Subject Classification ID

Distribution of integers in special residue classes (11N69) Other results on the distribution of values or the characterization of arithmetic functions (11N64)

Cites Work

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• Distribution of cube-free numbers with form \([n^c\)]
• Distribution of squarefree integers in non-linear sequences
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• The distribution of square-free numbers of the form \([n^c\)]
• Multiplicative functions of special type on Piatetski-Shapiro sequences
• On \(r\)-free integers in Beatty sequences
• The fractional sum of small arithmetic functions
• SUMS OF MULTIPLICATIVE FUNCTIONS OVER A BEATTY SEQUENCE
• Arithmetic functions on Beatty sequences
• On the distribution of $(k,r)$-integers in Piatetski-Shapiro sequences
• DISTRIBUTION OF ELEMENTS OF A FLOOR FUNCTION SET IN ARITHMETICAL PROGRESSIONS
• CONSECUTIVE SQUARE-FREE NUMBERS IN PIATETSKI-SHAPIRO SEQUENCES
• On certain sums of number theory
• Cardinality of a floor function set
• АКТУАЛЬНЫЕ ЗАДАЧИ, СВЯЗАННЫЕ С ПОСЛЕДОВАТЕЛЬНОСТЯМИ БИТТИ
• On a sum involving the Euler function

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