Khintchine's theorem for affine hyperplanes in positive charateristic

Autor:	Ganguly, Arijit
Rok vydání:	2021
Předmět:	Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	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].
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2106.04806 Zobrazit plný text záznamu View this record from Arxiv