Skip to main content
SpringerLink
Log in

An arithmetical application of elliptic functions to the theory of biquadratic residues

  • 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

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. G. Eisenstein, Applications de l'Algèbre à l'Arithmétique. J. für reine u. angew Math.29, 177–184 (1845).

    MATH  Google Scholar 

  2. G. Herglotz, Über das quadratische Reziprozitätsgesetz, in imaginären quadratischen Zahlkörpern. Leipziger Berichte, Math-Phys. Klasse.73, 303–310 (1921).

    Google Scholar 

  3. T. Kubota, Some arithmetical applications of an elliptic function. J. für reine u. angew Math.214/215, 141–145 (1964).

    MathSciNet  Google Scholar 

  4. H. Reichardt, Eine Bemerkung zur Theorie des Jacobischen Symbols. Math. Nachr.19, 171–175 (1958).

    Article  MATH  MathSciNet  Google Scholar 

  5. K. Shiratani, Die Diskriminante der Weierstraßschen elliptischen Funktionen und das Reziprozitätsgesetz in besonderen imaginärquadratischen Zahlkörpern. Abh. Math. Sem. Univ. Hamburg31, 51–61 (1967).

    Article  MATH  MathSciNet  Google Scholar 

  6. K. Shiratani, Über eine Anwendung elliptischer Funktionen auf das biquadratische Reziprozitätsgesetz. J. für reine u. angew Math.268/269, 203–209 (1974).

    Article  MathSciNet  Google Scholar 

  7. M. Watabe, An arithmetical application of elliptic functions to the theory of cubic residues (to appear in Proc. Japan Academy).

Download references

Author information

Author notes

  1. Mutsuo Watabe

    Present address: Department of Mathematics, Keio University, 4-1-1 Hiyoshi-cho, Kohoku-ku, 223, Yokohama, Japan

Authors and Affiliations

    Authors
    1. Mutsuo Watabe
      View author publications

      You can also search for this author in PubMed Google Scholar

    Rights and permissions

    Reprints and permissions

    About this article

    Cite this article

    Watabe, M. An arithmetical application of elliptic functions to the theory of biquadratic residues. Abh.Math.Semin.Univ.Hambg. 49, 118–125 (1979). https://doi.org/10.1007/BF02950652

    Download citation

    • Received:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF02950652

    Keywords

    Search

    Navigation