Victor Z. Guo

collaborators

3 papers

math.NT2021

Beatty primes from fractional powers of almost-primes

Victor Zhenyu Guo, Jinjiang Li, Min Zhang

Let $α > 1$ be irrational and of finite type, $β \in R$ . In this paper, it is proved that for $R ⩾ 13$ and any fixed $c \in (1, c_{R})$ , there exist infinitely many primes in…

math.NT2021

Piatetski-Shapiro primes in the intersection of multiple Beatty sequences

Victor Zhenyu Guo, Jinjiang Li, Min Zhang

Suppose that $α_{1}, α_{2}, β_{1}, β_{2} \in R$ . Let $α_{1}, α_{2} > 1$ be irrational and of finite type such that $1, α_{1}^{- 1}, α_{2}^{- 1}$ are linearly independent over $Q$ . Le…

math.NT2015

Piatetski-Shapiro Primes in a Beatty Sequence

Victor Z. Guo

Let $α, β$ be real numbers such that $α > 1$ is irrational and of finite type, and let $c$ be a real number in the range $1 < c < \frac{14}{13}$ . In this paper, it is shown that there are…