On $k$-free numbers over Beatty sequences
Wei Zhang
TL;DR
This paper investigates the distribution of $k$-free numbers within Beatty sequences, providing new theoretical insights into their properties and behavior.
Contribution
It introduces novel results on $k$-free numbers in Beatty sequences, advancing understanding of their distribution and characteristics.
Findings
New bounds on the density of $k$-free numbers in Beatty sequences
Characterization of the distribution patterns of these numbers
Extensions of classical results to the Beatty sequence context
Abstract
In this paper, we consider -free numbers over Beatty sequences. New results are given.
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Taxonomy
TopicsComputability, Logic, AI Algorithms · Mathematical Dynamics and Fractals · Benford’s Law and Fraud Detection