Metric Diophantine approximation over a local field of positive characteristic

Ghosh, Anish (2007) Metric Diophantine approximation over a local field of positive characteristic. Journal of Number Theory, 124 (2). pp. 454-469.

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Abstract

The conjectures of Sprindžuk in the metric theory of Diophantine approximation are established over a local field of positive characteristic. In the real case, these were settled by D. Kleinbock and G.A. Margulis using a new technique which involved nondivergence estimates for quasi-polynomial flows on the space of lattices. We extend their technique to the positive characteristic setting.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics
UEA Research Groups: Faculty of Science > Research Groups > Number Theory (former - to 2017)
Depositing User: Vishal Gautam
Date Deposited: 18 Mar 2011 10:28
Last Modified: 01 Feb 2023 12:30
URI: https://ueaeprints.uea.ac.uk/id/eprint/20090
DOI: 10.1016/j.jnt.2006.10.009

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