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Length of the period of a quadratic irrational

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Publication:1161773
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DOI10.1007/BF01763963zbMath0481.10007MaRDI QIDQ1161773

E. V. Podsypanin

Publication date: 1982

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)


zbMATH Keywords

continued fraction expansionquadratic irrationalperiod length


Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Continued fractions (11A55)


Related Items (3)

On continued fraction partial quotients of square roots of primes ⋮ An upper bound for the periodic length of a quadratic irrational ⋮ Bounds on the period of the continued fraction after a Möbius transformation



Cites Work

  • An upper bound for the period of the simple continued fraction for \(\sqrt D\)
  • The length of the period of the simple continued fraction of \(d^{1/2}\)
  • Estimation from above of the period of a quadratic irrationality
  • Length of period of simple continued fraction expansion of \(\sqrt d\)
  • The length of periodic continued fractions


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