On \(r\)-free integers in Beatty sequences

DOI10.1007/s40590-022-00422-xzbMath1495.11116OpenAlexW4221063479MaRDI QIDQ2116823

Veasna Kim, Teerapat Srichan, Sukrawan Mavecha

Publication date: 18 March 2022

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-022-00422-x

zbMATH Keywords

Beatty sequencesquare-free number\(r\)-free number

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Other results on the distribution of values or the characterization of arithmetic functions (11N64)

Related Items (2)

Consecutive generalized \(r\)-free integers in Beatty sequences ⋮ DISTRIBUTION OF r-FREE INTEGERS OVER A FLOOR FUNCTION SET

Cites Work

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• The square sieve and consecutive square-free numbers
• SUMS OF MULTIPLICATIVE FUNCTIONS OVER A BEATTY SEQUENCE
• Arithmetic functions on Beatty sequences
• On the distribution of consecutive square-free numbers of the form $\mathbf{[\alpha n, [\alpha n]+1}$]
• АКТУАЛЬНЫЕ ЗАДАЧИ, СВЯЗАННЫЕ С ПОСЛЕДОВАТЕЛЬНОСТЯМИ БИТТИ

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