Min Zhang

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20162026

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

[n^{c}]

1 citations · 1 across the 7 of their papers we have counts for

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math.NT2026

On the quadratic Waring-Goldbach problem with primes in Piatetski-Shapiro sets

Meng Gao, Jinjiang Li, Linji Long +1

In this paper, it is proved that, for any $γ_{1}, γ_{2}, γ_{3}, γ_{4}, γ_{5} \in (\frac{28}{29}, 1)$ , every sufficiently large integer $n$ subject to $n \equiv 5 (mod 24)$ can be represented as the s…

math.NT2025

Cubic Waring-Goldbach problem with Piatetski-Shapiro primes

Linji Long, Jinjiang Li, Min Zhang +1

In this paper, it is proved that, for $γ \in (\frac{317}{320}, 1)$ , every sufficiently large odd integer can be written as the sum of nine cubes of primes, each of which is of the for…

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.NT2025

On Higher-Power Moments of $Δ_{a} (x)$ for $- 1/2 < a < 0$

Yi Cai, Jinjiang Li, Yankun Sui +2

Let $- 1/2 < a < 0$ be a fixed real number and \begin{equation*} Δ_{a}(x)=\sideset{}{'}\sum_{n\leq x} σ_a(n)-ζ(1-a)x-\frac{ζ(1+a)}{1+a}x^{1+a}+\frac{1}{2}ζ(-a). \end{equation*} In this…

math.NT2025

On the mean square of the error term for the asymmetric two-dimensional divisor problem with congruence conditions

Zhen Guo, Jinjiang Li, Linji Long +1

Suppose that $a$ and $b$ are positive integers subject to $(a, b) = 1$ . For $n \in Z^{+}$ , denote by $τ_{a, b} (n; ℓ_{1}, M_{1}, l_{2}, M_{2})$ the asymmetric two--dimensional divisor funct…

math.NT2025

On a system of two Diophantine inequalities with six prime variables

Linji Long, Jinjiang Li, Min Zhang +1

Suppose that $c, d, α, β$ are real numbers satisfying the inequalities $1 < d < c < 79/71$ and $1 < α < β < 6^{1 - d / c}$ . In this paper, it is proved that, for sufficiently large real numbers $N_{1}$ …

On the quadratic Waring-Goldbach problem with primes in Piatetski-Shapiro sets

Cubic Waring-Goldbach problem with Piatetski-Shapiro primes

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

On Higher-Power Moments of Δa​(x) for −1/2<a<0

On the mean square of the error term for the asymmetric two-dimensional divisor problem with congruence conditions

On a system of two Diophantine inequalities with six prime variables

On Higher-Power Moments of $Δ_{a} (x)$ for $- 1/2 < a < 0$