Skip to main content
SpringerLink
Log in

The relative class number of certain imaginary abelian fields

  • 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. Z. I. Borevich andI. R. Shafarevich, Number Theory, Academic Press, 1966.

  2. L. Carlitz andF. R. Olson, Maillet’s determinant, Proc. Amer. Math. Soc.6 (1955), 265–269.

    Article  MATH  MathSciNet  Google Scholar 

  3. V. M. Galkin, The first factor of the ideal class number of a cyclotomic field, Uspèkhi Mat. Nauk27–6 (1972), 233–234 (in Russian).

    MathSciNet  Google Scholar 

  4. H. Hasse, Über die Klassenzahl abelscher Zahlkörper, Akademie-Verlag, 1952.

  5. K. Iimura, A note on the Stickelberger ideal of conductor level, Archiv Math.36 (1981), 45–52.

    Article  MATH  MathSciNet  Google Scholar 

  6. J. Kühnová, Maillet's determinantD n+1 p , Archivum Math.15 (1979), 209–212.

    MATH  Google Scholar 

  7. M. Newman, A table of the first factor for prime cyclotomic fields, Math. Comput. 24 (1970), 215–219.

    Article  MATH  Google Scholar 

  8. L. Skula, Index of irregularity of a prime, J. Reine Angew. Math.315 (1980), 92–106.

    MATH  MathSciNet  Google Scholar 

  9. L. Skula, Another proof of Iwasawa's class number formula, Acta Arith.39 (1981), 215–219.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Kumamoto University, Kumamoto, Japan

    A. Endô

Authors
  1. A. Endô
    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

Endô, A. The relative class number of certain imaginary abelian fields. Abh.Math.Semin.Univ.Hambg. 58, 237–243 (1988). https://doi.org/10.1007/BF02941380

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02941380

Keywords

Search

Navigation