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On rational approximations with denominators from thin sets, ii

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Abstract

In the general case a real irrational number cannot be approximated by infinitely many rationalsp/q involving error terms less than q-2 when the denominatorsq are taken from a given thin set of positive integers. The distribution of irrationals which are situated in close neighborhoods of infinitely many fractionsp/q, whereq is restricted to the elements of a thin set, depends on the asymptotic behaviour of theq’s and on their arithmetic properties.

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Authors and Affiliations

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

    Carsten Eisner

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  1. Carsten Eisner
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Correspondence to Carsten Eisner.

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Eisner, C. On rational approximations with denominators from thin sets, ii. Abh.Math.Semin.Univ.Hambg. 72, 35–45 (2002). https://doi.org/10.1007/BF02941663

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  • DOI: https://doi.org/10.1007/BF02941663

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