Skip to main content
Log in

Continued fraction expansions for imaginary quadratic surds

  • Published:
Mathematische Annalen 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.

Bibliography

  1. Frank, E.: On continued fraction expansions for binomial quadratic surds. Numerische Mathematik4, 85–95 (1962).

    Google Scholar 

  2. —— On continued fraction expansions for binomial quadratic surds II. Numerische Mathematik4, 302–309 (1962).

    Google Scholar 

  3. —— On continued fraction expansions for binomial quadratic surds III. Numerische Mathematik5, 113–117 (1963).

    Google Scholar 

  4. Patz, W.: Tafel der regelmäßigen Kettenbrüche für die Quadratwurzeln aus den natürlichen Zahlen von 1–10000. Leipzig 1941.

  5. —— Tafel der regelmäßigen Kettenbrüche und ihrer vollständigen Quotienten für die Quadratwurzeln aus den natürlichen Zahlen von 1–10000. Berlin: Akademie-Verlag 1955.

    Google Scholar 

  6. Perron, O.: Die Lehre von den Kettenbrüchen. Vol. I. Stuttgart: Teubner 1954.

    Google Scholar 

  7. Selenius, Clas-Olof: Konstruktion und Theorie halbregelmäßiger Kettenbrüche mit idealer relativer Approximation. Acta Academiae Aboensis22, 1–77 (1960).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

To Prof. Dr. Oskar Perron

Presented to the American Mathematical Society.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Frank, E. Continued fraction expansions for imaginary quadratic surds. Math. Ann. 181, 74–80 (1969). https://doi.org/10.1007/BF01351181

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01351181

Keywords

Navigation