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Original Articles

On the Inhomogeneous Hall's Ray of Period-One Quadratics

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Pages 487-495 | Published online: 04 Apr 2012

REFERENCES

  • Barnes , E. S. 1956 . “On linear inhomogeneous Diophantine approximation” . J. London Math. Soc. , 31 : 73 – 79 . [Barnes 1956]
  • Crisp , D. , Moran , W. , Pinner , C. and Pollington , A. “Inhomogeneous diophantine approximation and Hall's ray” [Crisp et al. ≥ 2001], In preparation
  • Cusick , T. W. , Moran , W. and Pollington , A. D. 1996 . “Hall's ray in inhomogeneous Diophantine approximation” . J. Austral. Math. Soc. Ser. A , 60 ( 1 ) : 42 – 50 . [Cusick et al. 1996]
  • Fukasawa , S. 1926 . “Über die Grossenordnung des absoluten Beträges von einer linearen inhomogenen Form, II” . Japan J. Math. , 3 : 91 – 106 . [Fukasawa 1926]
  • Parry , W. 1960 . “On the β-expansions of real numbers” . Acta Math. Hungar. , 11 : 401 – 416 . [Parry 1960]
  • Pinner , C. 2000 . “Lower bounds on the two-sided inhomogeneous approximation constant” [Pinner 2000a], preprint, See http://www.math.ksu.edu/~pinner/Pubs/Asym.ps
  • Pinner , C. 2000 . “More on inhomogeneous diophantine approximation” [Pinner 2000b], preprint, See http://www.math.ksu.edu/~pinner/Pubs/FinalNeg.ps To appear in J. Th. Nombres Bordeaux.
  • Rényi , A. 1957 . “Representations for real numbers and their ergodic properties” . Acta Math. Acad. Sci. Hungar. , 8 : 477 – 493 . [Rényi 1957]

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