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On rational approximations with denominators from thin sets

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Abstract

Given a thin setA we construct a Liouville number α such that for |α −u/υ|, υ ∈A, a nontrivial lower bound can be given.

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References

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Authors and Affiliations

  1. Institut für Mathematik, Universität Hannover, Weifengarten 1, D-30167, Hannover, Germany

    Carsten Elsner

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  1. Carsten Elsner
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Correspondence to Carsten Elsner.

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Elsner, C. On rational approximations with denominators from thin sets. Abh.Math.Semin.Univ.Hambg. 69, 229–235 (1999). https://doi.org/10.1007/BF02940875

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  • DOI: https://doi.org/10.1007/BF02940875

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