Skip to main content
Log in

Konstruktion imaginärquadratischer Körper mit unendlichem Klassenkörperturm

  • Published:
Archiv der Mathematik 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.

Literaturverzeichnis

  1. D. A. Buell, Class Groups of Quadratic Fields. Math. Comp.30, 610–623 (1976).

    Google Scholar 

  2. M. Craig, A construction for irregular discriminants. Osaka J. Math.14, 365–402 (1977).

    Google Scholar 

  3. F. Diaz y Diaz, D. Shanks andH. C. Williams, Quadratic Fields With 3-Rank Equal to 4. Math. Comp.33, 836–840 (1979).

    Google Scholar 

  4. Ph. Furtwängler, Über das Verhalten der Ideale des Grundkörpers im Klassenkörper. Monatsh. Math. Phys.27, 1–15 (1916).

    Google Scholar 

  5. M. D. Hendy, The Distribution of Ideal Class Numbers of Real Quadratic Fields. Math. Comp.29, 1129–1134 (1975).

    Google Scholar 

  6. W. Jehne, On knots in algebraic number theory. J. Reine Angew. Math.311/312, 215–254 (1979).

    Google Scholar 

  7. H. Kisilevsky, Number Fields with Class Number Congruent to 4 mod 8 and Hubert's Theorem 94. J. Number Th.8, 271–279 (1976).

    Google Scholar 

  8. H. Koch, Zum Satz von Golod-Schafarewitsch. Math. Nachr.42, 321–333 (1969).

    Google Scholar 

  9. H. Koch undB. B. Venkov, Über denp-Klassenkörperturm eines imaginär-quadratischen Zahlkörpers. Journées arithmetiques de Bordeaux 1974. Astérisque24/25, 57–67 (1975).

    Google Scholar 

  10. J. Martinet, Tours de corps de classes et estimations de discriminants. Invent. Math.44, 65–73 (1978).

    Google Scholar 

  11. N. Matsumura, On the class field tower of an imaginary quadratic number field. Mem. Fac. Sci. Kyushu Univ. Ser. A31, 165–171 (1977).

    Google Scholar 

  12. A. M. Odlyzko, Lower bounds for discriminants of number fields. Acta Arithmetica29, 275–297 (1976).

    Google Scholar 

  13. G. Poitou, Minorations de discriminants (d'après A. M. Odlyzko). Séminaire Bourbaki 1975/76, exposé 479. LNM567, S. 136–153, Berlin 1977.

    Google Scholar 

  14. L. Rédei undH. Reichardt, Die Anzahl der durch 4 teilbaren Invarianten der Klassengruppe eines beliebigen quadratischen Zahlkörpers. J. Reine Angew. Math.170, 69–74 (1934).

    Google Scholar 

  15. P.Roquette, On Class Field Towers. In: J. W. S. Cassels and A. Fröhlich (eds.). Algebraic Number Theory. S. 231–249, London 1967.

  16. B.Schmithals, Eine Verallgemeinerung der Klassenrangabschätzung von Roquette und Zassenhaus. Erscheint in Arch. Math.

  17. O. Taussky, A remark on the class field tower. J. London Math. Soc.12, 82–85 (1937).

    Google Scholar 

  18. H. Wada, A Table of Ideal Class Groups of Imaginary Quadratic Fields. Proc. Japan Acad.46, 401–403 (1970).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schmithals, B. Konstruktion imaginärquadratischer Körper mit unendlichem Klassenkörperturm. Arch. Math 34, 307–312 (1980). https://doi.org/10.1007/BF01224968

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01224968

Navigation