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On the length of the period of a real quadratic irrational

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Publication:1701538
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DOI10.1007/s13226-017-0229-4zbMath1400.11021OpenAlexW2736208130MaRDI QIDQ1701538

N. Saradha

Publication date: 27 February 2018

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-017-0229-4


zbMATH Keywords

continued fraction expansionquadratic irrationalperiod length


Mathematics Subject Classification ID

Continued fractions (11A55)


Related Items (1)

On continued fraction partial quotients of square roots of primes



Cites Work

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  • 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 \(d^{1/2}\)
  • Length of period of simple continued fraction expansion of \(\sqrt d\)
  • The length of periodic continued fractions
  • A Numerical Investigation Into the Length of the Period of the Continued Fraction Expansion of √D
  • Periodic Simple Continued Fractions


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