2 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.CA2025
Oscillatory integral operators and variable Schrödinger propagators: beyond the universal estimates
Mingfeng Chen, Shengwen Gan, Shaoming Guo +3
We consider a class of Hörmander-type oscillatory integral operators in for odd with real analytic phase. We derive weak conditions on the phase which en…