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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…