Jiye Yuan

activity

20192024

most citedOn the dimension of divergence sets of Schrödinger equation with complex time

3 citations · 4 across the 4 of their papers we have counts for

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2 papers · 1 filter

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…

math.NT2022★ 1 cited

Maximal estimates for the Weyl sums on $T^{d}$ (with an appendix by Alex Barron)

Changxing Miao, Jiye Yuan, Tengfei Zhao

In this paper, we obtain the maximal estimate for the Weyl sums on the torus $T^{d}$ with $d \geq 2$ , which is sharp up to the endpoint. We also consider two variants of this…

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

Maximal estimates for the Weyl sums on Td (with an appendix by Alex Barron)

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

Maximal estimates for the Weyl sums on $T^{d}$ (with an appendix by Alex Barron)