Archiv der Mathematik

, Volume 41, Issue 3, pp 256–260 | Cite as

On class numbers of imaginary quadratic and quartic fields

  • Tsuyoshi Uehara
Article
Received:
Revised:

Keywords

Class Number Quartic Field 
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References

  1. [1]
    N. C. Ankeny andS. Chowla, On the divisibility of the class number of quadratic fields. Pacific J. Math.5, 321–324 (1955).Google Scholar
  2. [2]
    H. Edger andB. Peterson, Some contributions to the theory of cyclic quartic extensions of the rationals. J. Number Theory12, 77–83 (1980).Google Scholar
  3. [3]
    P. Humbert, Sur les nombres de classes de certains corps quadratiques. Comment Math. Helv.12, 233–245 (1939/40); also13, 67 (1940/41).Google Scholar
  4. [4]
    S.-N. Kuroda, On the class number of imaginary quadratic number fields. Proc. Japan Acad.40, 365–367 (1964).Google Scholar
  5. [5]
    T. Nagel, Über die Klassenzahl imaginär-quadratischer Zahlkörper. Abh. Math. Sem. Univ. Hamburg1, 140–150 (1922).Google Scholar
  6. [6]
    W. Narkiewicz, Elementary and analytic theory of algebraic numbers. PWN, Warszawa 1974.Google Scholar
  7. [7]
    Y. Yamamoto, On unramified Galois extensions of quadratic number fields. Osaka J. Math.7, 57–76 (1970).Google Scholar

Copyright information

© Birkhäuser Verlag 1983

Authors and Affiliations

  • Tsuyoshi Uehara
    • 1
  1. 1.Department of MathematicsSaga UniversitySagaJapan

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