Abstract
Suppose that . Let be irrational and of finite type such that are linearly independent over . Let be a real number in the range . In this paper, it is proved that there exist infinitely many primes in the intersection of the Beatty sequences , and the Piatetski-Shapiro sequence . Moreover, we also give a sketch of the proof of Piatetski-Shapiro primes in the intersection of multiple Beatty sequences.
Citation
Victor Zhenyu Guo. Jinjiang Li. Min Zhang. "Piatetski-Shapiro primes in the intersection of multiple Beatty sequences." Rocky Mountain J. Math. 52 (4) 1375 - 1394, August 2022. https://doi.org/10.1216/rmj.2022.52.1375
Information