TL;DR
This paper derives an asymptotic formula for counting y-smooth numbers within Beatty sequences generated by irrational numbers of finite type, advancing understanding of their distribution.
Contribution
It provides the first asymptotic estimate for smooth numbers in Beatty sequences associated with irrationals of finite type.
Findings
Asymptotic formula for smooth numbers in Beatty sequences
Extension to irrationals of finite type
Improved understanding of distribution patterns
Abstract
An asymptotic formula is given for the number of y-smooth numbers up to x in a Beatty sequence corresponding to an irrational number of finite type.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.