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On Inhomogeneous Diophantine Approximation and the Borweins’ Algorithm, II

  • Takao Komatsu
Part of the Developments in Mathematics book series (DEVM, volume 6)

Abstract

We obtain the values.M(θ, Ø) = liminf|q|→∞ |q| ||qθ − Ø|| by using the algorithm by Borwein and Borwein. Some new results for Ø = e l/s (s ≥ 1) are evaluated.

1991 Mathematics Subject Classification: 11J20, 11J80.

Keywords

Inhomogeneous diophantine approximation Borweins’ algorithm Continued fractions quasi-periodic representation 11J20 11J80 

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Copyright information

© Springer Science+Business Media Dordrecht 2002

Authors and Affiliations

  • Takao Komatsu
    • 1
  1. 1.Faculty of EducationMie UniversityMieJapan

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