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, Y (2019). A short note on some arithmetical properties of the integer part of $\alpha p$. Turkish Journal of Mathematics 43 (3): 1253-1262. https://doi.org/10.3906/mat-1809-43

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