Rajula Srivastava

collaborators

6 papers

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.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…

math.NT2025

Counting rational points near manifolds: a refined estimate, a conjecture and a variant

Jonathan Hickman, Rajula Srivastava, James Wright

Refining an argument of the second author, we improve the known bounds for the number of rational points near a submanifold of $R^{d}$ of intermediate dimension under a natu…

math.NT2025

Counting integral points near space curves: a Fourier analytic approach

Jonathan Hickman, Rajula Srivastava

We establish upper and lower bounds for the number of integral points which lie within a neighbourhood of a smooth nondegenerate curve in $R^{n}$ for $n \geq 3$ . These estima…

math.NT2025

Counting Rational Points In Non-Isotropic Neighborhoods of Manifolds

Rajula Srivastava

In this manuscript, we initiate the study of the number of rational points with bounded denominators, contained in a non-isotropic $I^´_{1} \times \dots \times I^´_{R}$ neighborhood of a c…

math.NT2025

Counting Lattice Points near KorÃ¡nyi Spheres via Generalized Radon Transforms

Rajula Srivastava, Krystal Taylor

In this note, we study a lattice point counting problem for spheres in Heisenberg groups, incorporating both the non-isotropic dilation structure and the non-commutative group law.…