**Abstract:** |
Wirsing conjectured ( generalization of Dirichlet's result ) that for any real number and positive integer ,
if is not algebraic of degree at most , then for any , there exist infinitely many real algebraic numbers with degree at most
such that where is a constant depending only on , and . Sprind\v{z}uk showed that the conjecture is true for almost
all real numbers ( in the sense of Lebesgue measure).
Baker and Schmidt studied sets that are defined more widely in terms of approximation by algebraic approximation of bounded degrees and
established a generalization result of the Jarnik-Besicovitch theorem. In this talk we will give an analog of Baker and Schmidt's theorem in the fields of
formal power series. |
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