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Some periodic continued fraction expansions and fundamental units of quadratic orders

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Publication:1813992
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DOI10.1007/BF02942326zbMath0764.11009OpenAlexW1978958845MaRDI QIDQ1813992

Franz Halter-Koch

Publication date: 25 June 1992

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02942326


zbMATH Keywords

continued fractionfundamental unitperiod length


Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Continued fractions (11A55)


Related Items (3)

Reell-quadratische Zahlkörper mit großer Grundeinheit. (Real- quadratic fields with large fundamental unit) ⋮ Class number one problem for a family of real quadratic fields ⋮ Quadratic Residue Covers for Certain Real Quadratic Fields



Cites Work

  • On the fundamental units and the class numbers of real quadratic fields. II
  • Fundamental units and cycles. I
  • Real quadratic number fields with large fundamental units
  • Applications of a Continued Fraction Algorithm to Some Class Number Problems
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