A short note on some arithmetical properties of the integer part of $\alpha p$

Authors

YILDIRIM AKBAL

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 $x$.

DOI

10.3906/mat-1809-43

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