Yuda Chen

collaborators

3 papers

math.SP2026

Uniform Resolvent Estimates for the Discrete Schrödinger Operator in Higher Dimensions

Yuda Chen

Let $H_{0}$ be the standard discrete Laplacian on $Z^{d}$ , $d \geq 4$ , let $R_{0} (z) = (H_{0} - z)^{- 1}$ , and let $p^{'}$ denote the Hölder conjugate of $p$ , with $p^{'} = \infty$ when $p = 1$ . We…

math.CA2026

Decoupling and Discrete Strichartz Estimates for Dispersive Equations on the Torus

Yuda Chen

This paper proves weighted discrete Strichartz, or equivalently discrete restriction, estimates for two-dimensional exponential sums with fractional and perturbed polynomial phases…

math.NT2024

Some results on a conjecture of de Polignac about numbers of the form $p + 2^{k}$

Yuda Chen, Xiangjun Dai, Huixi Li

We have primarily obtained three results on numbers of the form $p + 2^{k}$ . Firstly, we have constructed many arithmetic progressions, each of which does not contain numbers of the…

Uniform Resolvent Estimates for the Discrete Schrödinger Operator in Higher Dimensions

Decoupling and Discrete Strichartz Estimates for Dispersive Equations on the Torus

Some results on a conjecture of de Polignac about numbers of the form p+2k

Some results on a conjecture of de Polignac about numbers of the form $p + 2^{k}$