19 citations · 20 across the 8 of their papers we have counts for
11 papers
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…
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…
Diophantine approximation with prime restriction in function fields
Stephan Baier, Esrafil Ali Molla, with an appendix by Arijit Ganguly
In the thirties of the last century, I. M. Vinogradov established uniform distribution modulo 1 of the sequence when is a fixed irrational real number and runs over th…
Khintchine's theorem for affine hyperplanes in positive charateristic
Arijit Ganguly
In this paper we establish the convergence case of Khintchine's theorem for affine hyperplanes in function field of positive characteristic. Along with that, we also prove a quanti…
Random walks on tori and normal numbers in self similar sets
Yiftach Dayan, Arijit Ganguly, Barak Weiss
We study random walks on a -dimensional torus by affine expanding maps whose linear parts commute. Assuming an irrationality condition on their translation parts, we prove that…
The inhomogeneous Sprindzhuk conjecture over a local field of positive characteristic
Arijit Ganguly, Anish Ghosh
We prove a strengthened version of the inhomogeneous Sprindzhuk conjecture in metric Diophantine approximation, over a local field of positive characteristic. The main tool is the…