Khintchine's theorem for affine hyperplanes in positive charateristic

Arijit Ganguly

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arXiv · 2106.04806

Khintchine's theorem for affine hyperplanes in positive charateristic

Arijit Ganguly

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Abstract

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 [17].

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Arijit Ganguly. 2021-06-09. Khintchine's theorem for affine hyperplanes in positive charateristic. https://arxiv.org/abs/2106.04806

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