On $k$-free numbers over Beatty sequences

DOI10.21136/CMJ.2023.0304-22arXiv2210.16828OpenAlexW4323566282MaRDI QIDQ6175173

Wei Zhang

Publication date: 17 August 2023

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

Abstract: In this paper, we consider $k$-free numbers over Beatty sequences. New results are given.

Full work available at URL: https://arxiv.org/abs/2210.16828

zbMATH Keywords

exponential sumBeatty sequence\(k\)-free number

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Special sequences and polynomials (11B83)

Related Items (2)

Consecutive generalized \(r\)-free integers in Beatty sequences ⋮ On the distribution of square-free primitive roots in Beatty sequences

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