Li Long

collaborators

4 papers

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

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 $I ¨ _{a, b} (n; ℓ_{1}, M_{1}, l_{2}, M_{2})$ the asymmetric two--dimensional divisor func…