Changxing Miao

activity

20242026

most citedOn Onsager's type conjecture for the inviscid Boussinesq equations

6 citations · 6 across the 9 of their papers we have counts for

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2 papers · 1 filter

math.NT2026

A multidimensional Szemerédi theorem in integers

Jingwei Guo, Changxing Miao, Guoqing Zhan

For any integer $n \geq 2$ , let $(m_{1}, \dots, m_{n})$ be a strictly increasing $n$ -tuple of positive integers. We show that any subset $A \subset [N]^{n}$ of density at least $(\log…

math.NT2024

$L^{p}$ maximal estimates for Weyl sums with $k \geq 3$ on $T$

Xuezhi Chen, Changxing Miao, Jiye Yuan +1

In this paper, we study the $L^{p}$ maximal estimates for the Weyl sums $\sum_{n = 1}^{N} e^{2 π i (n x + n^{k} t)}$ with higher-order $k \geq 3$ on $T$ , and obtain the positive and ne…

A multidimensional Szemerédi theorem in integers

Lp maximal estimates for Weyl sums with k≥3 on T

$L^{p}$ maximal estimates for Weyl sums with $k \geq 3$ on $T$