A short note on some arithmetical properties of the integer part of αp
Turkish Journal of Mathematics, vol.43, no.3, pp.1253-1262, 2019 (SCI-Expanded, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 43 Issue: 3
- Publication Date: 2019
- Doi Number: 10.3906/mat-1809-43
- Journal Name: Turkish Journal of Mathematics
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Page Numbers: pp.1253-1262
- Keywords: Arithmetic progressions, Beatty sequences, Exponential sums, Shifted primes
- TED University Affiliated: No
Abstract
Let α > 0 be an irrational number. We study some of the arithmetical properties of [⌊αp⌋]p=2∞, where p denotes a prime number and ⌊x⌋ denotes the largest integer not exceeding x.