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YuXi Li

Publications and source records attributed to YuXi Li.

2 recordsLinked to original sources
arXiv2026

Explicit bounds for the number of solutions to Roth-type inequalities over adelic curves

In this paper, we provide an upper bound on the number of a special system of Roth-type Diophantine inequalities over proper adelic curves. By refining the technique from previous work, we successfully eliminate the large-height restriction on the solutions. Furthermore, the constraints on the parameters within the inequality are further relaxed. We also give a constructive quantitative generalization of the Vojta-Dolce-Zucconi system, replacing compactness-based extraction by a discrete pigeonhole argument and a finite grid partition, so that the resulting bound has explicit dependence on the relevant parameters.

math.NT↗
arXiv2026

On a theorem of Schmidt's subspace theory with moving targets

The Schmidt's subspace theory with moving targets, as a significant branch in this field, has been substantially developed in recent years. We continue the approach of the previous work, construct a weighted version of generalized Schmidt subspace theory with moving targets. As a supplement and sharp extension to the relevant results.

math.NT↗