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. ISSN 0022-314X

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Related URL: http://dx.doi.org/10.1016/j.jnt.2006.10.009

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.

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