Xi-Tao Gao

collaborators

2 papers

math.NT2026

A New Bound for the Gauss Circle Problem

Xi Cen, Xitao Gao, Cheng Zhang +1

Let $E (X) = # {(a, b) \in Z^{2} : a^{2} + b^{2} \leq X} - π X$ . We prove that $E (X) = O_{ε} (X^{209/670 + ε})$ for every $ε > 0$ , uniformly for real $X \geq 4$ . This breaks the $5…

math.SP2026

$L^{p}$ bounds for wave operators with critical electromagnetic potentials

Piero D'Ancona, Xitao Gao, Junyong Zhang

We study the Møller wave operators for scaling critical electromagnetic Hamiltonians in the plane. For smooth transverse magnetic and angular electric potentials, with nonnegative…

A New Bound for the Gauss Circle Problem

Lp bounds for wave operators with critical electromagnetic potentials

$L^{p}$ bounds for wave operators with critical electromagnetic potentials