Consecutive Piatetski-Shapiro primes based on the Hardy-Littlewood conjecture

Victor Z. Guo, Yuan Yi

The Piatetski-Shapiro sequences are of the form ${\mathcal{N}}^{(c)}:=(\lfloor n^c\rfloor {)}_{n=1}^{\infty }$ with $c>1,c\notin \mathbb{N}$. In this paper, we study the distribu…