Arijit Ganguly
Published 2021-06-09Version 1
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.
The analogue of Büchi's problem for function fields
Hyperbolicity over function fields of quadrics
The asymptotic behavior of automorphism groups of function fields over finite fields
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