(Tubitak Scientific & Technological Research Council Turkey, 2019) Akbal, Yıldırım; Mathematics
Let $a>0$ be an irrational number. We study some of the arithmetical properties of ${\\{\\lfloor ap\\rfloor\\}}_{p=2}^\\infty$ where pdenotes a prime number and $\\lfloor x\\rfloor$ denotes the largest integer not exceeding x.