Xuezhi Chen

collaborators

2 papers

math.CA2024

Two-point polynomial patterns in subsets of positive density in $R^{n}$

Xuezhi Chen, Changxing Miao

Let $I^^{3} (t) = (P_{1} (t), \dots, P_{n} (t))$ where $P_{i}$ is a real polynomial with zero constant term for each $1 \leq i \leq n$ . We will show the existence of the configuration $\{x,x+Î³(t)\}…

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 $\sum_{n = 1}^{N} e^{2 I ¨ i (n x + n^{k} t)}$ with higher-order $k \geq 3$ on $T$ , and obtain the positive and n…

Two-point polynomial patterns in subsets of positive density in Rn

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

Two-point polynomial patterns in subsets of positive density in $R^{n}$

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