Mingfeng Chen

activity

20232026

most citedRational points near planar flat curves

1 citations · 1 across the 6 of their papers we have counts for

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math.NT2026

Counterexamples for Rational Points Near Curves

Mingfeng Chen, Rajula Srivastava, Niclas Technau

Let $δ \in [0, 1/2]$ and $Q \geq 1$ . Given a compact $C^{\infty}$ -curve $C$ in $R^{n}$ , denote by $N_{C} (δ, Q)$ the number of pairs $(\mathbf{a}, q)\in \mat…

math.CA2026

On planar Nikodym-type sets

Alan Chang, Mingfeng Chen, Shaoming Guo +3

Nikodym constructed a measure-zero Borel set in the plane that contains a punctured line segment passing through each point in the unit square. Fenton and Falconer asked whether a…

math.NT2026

Sharp Bounds for Rational Points Near Space Curves

Mingfeng Chen, Andreas Seeger, Rajula Srivastava +1

Let $Q \geq 1$ be large, and $δ \in (0, 1)$ be small. Denote by $C \subset R^{3}$ a sufficiently smooth curve with non-vanishing curvature and torsion. How many rational…