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math.NT2026
Counterexamples for Rational Points Near Curves
Mingfeng Chen, Rajula Srivastava, Niclas Technau
Let and . Given a compact -curve in , denote by 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 be large, and be small. Denote by a sufficiently smooth curve with non-vanishing curvature and torsion. How many rational…
math.NT2026
Rational Points in Hyperbolic Regions and Multiplicative Diophantine Approximation on Manifolds
Sam Chow, Rajula Srivastava, Niclas Technau +1
We establish the convergence theory of multiplicative Diophantine approximation for all non-degenerate, smooth manifolds. We also settle said convergence theory for all affine subs…