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 quantitative version of the same. The main technique used in the proof is a dynamical result called ‘Quantitative nondivergence’ due to D.Y. Kleinbock and G.A. Margulis ().
- Diophantine approximation
- Dynamical systems