Jinjia Li

collaborators

7 papers

math.NT2026

On the distribution of $I^\pm p^{2}$ modulo one in the intersection of two Piatetski--Shapiro sets

Junyi Chu, Jinjiang Li, Min Zhang

Let $⌊ t ⌋$ denote the integer part of $t \in R$ and $∥ x ∥$ the distance from $x$ to the nearest integer. Suppose that $1/2 < I^_{2}^{3} < I^_{1}^{3} < 1$ are two fixed constants.…

math.NT2026

On a system of two Diophantine inequalities with six prime variables

Linji Long, Jinjiang Li, Min Zhang +1

Suppose that $c, d, I^\pm, I^^{2}$ are real numbers satisfying the inequalities $1 < d < c < 79/71$ and $1 < I^\pm < I^^{2} < 6^{1 - d / c}$ . In this paper, it is proved that, for sufficiently large real numbers $…

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 $I^_{1}^{3}, I^_{2}^{3}, I^_{3}^{3}, I^_{4}^{3}, I^_{5}^{3} \in (\frac{28}{29}, 1)$ , every sufficiently large integer $n$ subject to $n \equiv 5 (mod 24)$ can be represented as…

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 $I^^{3} \in (\frac{317}{320}, 1)$ , every sufficiently large odd integer can be written as the sum of nine cubes of primes, each of which is of the fo…

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 $I^_{a} (x)$ 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*} Î_{a}(x)=\sideset{}{'}\sum_{n\leq x} Ï_a(n)-Î¶(1-a)x-\frac{Î¶(1+a)}{1+a}x^{1+a}+\frac{1}{2}Î¶(-a). \end{equation*} In…

On the distribution of I^±p2 modulo one in the intersection of two Piatetski--Shapiro sets

On a system of two Diophantine inequalities with six prime variables

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 I^a​(x) for −1/2<a<0

On the distribution of $I^\pm p^{2}$ modulo one in the intersection of two Piatetski--Shapiro sets

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