Skip to main content
Log in

Einige periodische Kettenbruchentwicklungen und Grundeinheiten quadratischer Ordnungen

  • Published:
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literatur

  1. T. Azuhata, On the Fundamental Units and the Class Numbers of Real Quadratic Fields II, Tokyo J. Math.10 (1987), 259–270.

    Article  MATH  MathSciNet  Google Scholar 

  2. L. Bernstein, Fundamental Units and Cycles in the Period of Real Quadratic Number Fields I, II. J. Number Theory8 (1976), 446–491; Pacific J. Math.63 (1976), 37-61 and 63-78.

    Article  MATH  MathSciNet  Google Scholar 

  3. L. E. Dickson, History of the Theory of Numbers, vol. II. Chelsea 1971.

  4. M. D. Hendy, Applications of a Continued Fraction Algorithm to Some Class Number Problems. Math. Comp.28 (1974), 267–277.

    Article  MATH  MathSciNet  Google Scholar 

  5. C. Levesque, Continued Fraction Expansions and Fundamental Units. J. Math. Phys. Sci.22 (1988), 11–44.

    MATH  MathSciNet  Google Scholar 

  6. C. Levesque andG. Rhin, A few classes of periodic continued fractions. Utilitas Math.30 (1986), 79–107.

    MATH  MathSciNet  Google Scholar 

  7. M. Nyberg, Culminating and almost culminating continued fractions (in Norwegian). Norsk Mat. Tidsskr.31 (1949), 95–99.

    MATH  MathSciNet  Google Scholar 

  8. O. Perron, Die Lehre von den Kettenbrüchen, Bd. 1. Teubner 1954.

  9. H. C. Williams, A note on the period length of the continued fraction expansion of certain {ie-1}, Utilitas Math.28 (1985), 201–209.

    MATH  MathSciNet  Google Scholar 

  10. Y. Yamamoto, Real quadratic number fields with large fundamental units. Osaka J. Math.8 (1971), 261–270.

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Halter-Koch, F. Einige periodische Kettenbruchentwicklungen und Grundeinheiten quadratischer Ordnungen. Abh.Math.Semin.Univ.Hambg. 59, 157–169 (1989). https://doi.org/10.1007/BF02942326

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02942326

Navigation