Xiaotian Li

collaborators

2 papers

math.NT2025

Vinogradov's three primes theorem in the intersection of multiple Piatetski-Shapiro sets

Xiaotian Li, Jinjiang Li, Min Zhang

Vinogradov's three primes theorem indicates that, for every sufficiently large odd integer $N$ , the equation $N = p_{1} + p_{2} + p_{3}$ is solvable in prime variables $p_{1}, p_{2}, p_{3}$ . In this p…

math.NT2023

Primes in the intersection of two Piatetski-Shapiro sets

Xiaotian Li, Wenguang Zhai, Jinjiang Li

Let $π (x; γ_{1}, γ_{2})$ denote the number of primes $p$ with $p ⩽ x$ and $p = ⌊ n_{1}^{1/ γ_{1}} ⌋ = ⌊ n_{2}^{1/ γ_{2}} ⌋$ , where $⌊ t ⌋$ denotes the integer p…