Turkish Journal of Mathematics
DOI
10.3906/mat-1809-43
Abstract
Let $\alpha>0$ be an irrational number. We study some of the arithmetical properties of $\{ \fl{\alpha p}\}_{p=2}^{\infty}$, where $p$ denotes a prime number and $\fl{x}$ denotes the largest integer not exceeding $x$.
Keywords
Arithmetic progressions, Beatty sequences, exponential sums, shifted primes
First Page
1253
Last Page
1262
Recommended Citation
AKBAL, YILDIRIM
(2019)
"A short note on some arithmetical properties of the integer part of $\alpha p$,"
Turkish Journal of Mathematics: Vol. 43:
No.
3, Article 14.
https://doi.org/10.3906/mat-1809-43
Available at:
https://journals.tubitak.gov.tr/math/vol43/iss3/14
