3 papers
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 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 for . These estima…
math.NT2025
Counting Lattice Points near Korányi 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.…