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ON THE OPTIMAL CONTINUED FRACTION EXPANSION OF A QUADRATIC SURD

  • KEITH R. MATTHEWS (a1) (a2)
Abstract
Abstract

We describe the period structure of the optimal continued fraction expansion of a quadratic surd, in terms of the period of its nearest square continued fraction expansion. The analysis results in a faster algorithm for determining the optimal continued fraction expansion of a quadratic surd.

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J. F. Koksma , Diophantische Approximation (Springer, Berlin, 1936).

K. R. Matthews and J. P. Robertson , ‘Period length equality for the NICF and NSCF expansions of a quadratic surd’, Mat. Glasnik 46 (2011), 269282.

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Journal of the Australian Mathematical Society
  • ISSN: 1446-7887
  • EISSN: 1446-8107
  • URL: /core/journals/journal-of-the-australian-mathematical-society
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