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math.NT2022
Inhomogeneous Khitchine-Groshev type theorems on manifolds over function fields
Sourav Das, Arijit Ganguly
The goal of this paper is to establish a complete Khintchine-Groshev type theorem in both homogeneous and inhomogeneous setting, on analytic nondegenerate manifolds over a local fi…
math.NT2022
Dirichlet improvability for -numbers
Sourav Das, Arijit Ganguly
We study the problem of improving Dirichlet's theorem of metric Diophantine approximation in the -adic setting. Our approach is based on translation of the problem related to Di…