Article ID Journal Published Year Pages File Type
8895642 Finite Fields and Their Applications 2018 25 Pages PDF
Abstract
In 1962 Sprindžuk proved Mahler's conjecture in both the real and complex cases (as well as for p-adic numbers and for fields of formal power series over finite fields). Baker gave a generalized result by using a modified version of Sprindžuk's method. Later, Baker and Schmidt derived the Hausdorff dimensions of sets which are defined in terms of approximation by algebraic numbers of bounded degrees by using Baker's theorem. In this article we will prove two analogue theorems in the fields of formal power series over finite fields.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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