Almost primes in generalized Piatetski-Shapiro sequences
We consider a generalization of Piatetski-Shapiro sequences in the sense of Beatty sequences, which is of the form $\left( \left\lfloor{\alpha n^c + \beta}\right\rfloor \right)_{n = 1}^{\infty} $ with real numbers $ \alpha {\geqslant} 1, c > 1 $ and $ \beta $. In this paper, we prove that the...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2022-05-01
|
| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022780?viewType=HTML |