Min Zhang

activity

20162022

most citedOn the Distribution of Cube-Free Numbers with the Form

[n^{c}]

1 citations · 1 across the 6 of their papers we have counts for

collaborators

12 papers

math.NT2022

A generalization of Piatetski-Shapiro sequences (II)

Jinjiang Li, Jinyun Qi, Min Zhang

Suppose that $α, β \in R$ . Let $α ⩾ 1$ and $c$ be a real number in the range $1 < c < 12/11$ . In this paper, it is proved that there exist infinitely many primes in the ge…

math.NT2020

On Waring-Goldbach Problem for Squares, Cubes and Higher Powers

Min Zhang, Jinjiang Li

Let $P_{r}$ denote an almost-prime with at most $r$ prime factors, counted according to multiplicity. In this paper, we generalize the result of Vaughan for ternary admissi…

math.NT2020

An Additive Problem over Piatetski-Shapiro Primes and Almost-primes

Jinjiang Li, Min Zhang

Let $P_{r}$ denote an almost-prime with at most $r$ prime factors, counted according to multiplicity. In this paper, we establish a theorem of Bombieri-Vinogradov type for…

math.NT2018

A Diophantine inequality with four prime variables

Min Zhang, Jinjiang Li

Let $N$ be a sufficiently large real number. In this paper, it is proved that, for $1 < c < \frac{1193}{889}$ , the following Diophantine inequality \begin{equation*} \big|p_1^c+p_2^c+p…

math.NT2018

On two Diophantine inequalities over primes (II)

Yuetong Zhao, Jinjiang Li, Min Zhang

Let $1 < c < \frac{26088036}{12301745}, c \neq = 2$ and $N$ be a sufficiently large real number. In this paper, it is proved that, for almost all $R \in (N, 2 N]$ , the Diophantine inequality…

math.NT2018

On a Diophantine equation with five prime variables

Jinjiang Li, Min Zhang

Let $[x]$ denote the integral part of the real number $x$ , and $N$ be a sufficiently large integer. In this paper, it is proved that, for $1 < c < \frac{4109054}{1999527}, c \neq = 2$ , th…