Meng Gao

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math.NT2026

A density version of quaternary Goldbach problem

Xiaoyang Hu, Meng Gao

Let $P$ denote the set of all primes, and let $δ (P)$ denote the relative lower density of a subset $P$ in $P$ . Suppose that $P_{1}, P_{2}, P_{3}, P_{4}$ are f…

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.NT2023

A density version of Waring-Goldbach problem

Meng Gao

In this paper, we study a density version of the Waring-Goldbach problem. Suppose that A is a subset of the primes, and the lower density of A in the primes is larger than 1-1/2k.…