A note on values of beatty sequences that are free of large prime factors
Colloquium Mathematicum, vol.160, no.1, pp.53-63, 2020 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 160 Issue: 1
- Publication Date: 2020
- Doi Number: 10.4064/cm7715-2-2019
- Journal Name: Colloquium Mathematicum
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
- Page Numbers: pp.53-63
- Keywords: Beatty sequences, Exponential sums, Friable numbers
- TED University Affiliated: No
Abstract
Let α and β be fixed real numbers and suppose that α > 1 is irrational and of finite type. We study values of the non-homogeneous Beatty sequence (Formula Presented) that are free of large prime factors, where (Formula Presented) is the largest integer not exceeding x.