Mingfeng Chen

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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.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…

math.NT2025★ 1 cited

Rational points near planar flat curves

Mingfeng Chen

We establish asymptotic formulas for counting rational points near finite type curves on the plane, generalizing Huang's result.