Skip to main content
Log in

A generalization of Kummer's criterion

  • Published:
Inventiones mathematicae Aims and scope

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.

References

  1. Iwasawa, K.: Lectures onp-adicL-functions. Ann. Math. Studies 74, Princeton University Press, 1972

  2. Serre, J-P.: Cohomologie des groupes discrets. Ann. Math. Studies70, p. 77–169, Princeton University Press, 1971

    Google Scholar 

  3. Serre, J-P.: Formes modulaires et fonctions zetap-adiques. (To appear in: Proceedings of the Antwerp Summer Institute on Modular Forms, vol. 3)

  4. Siegel, C.L.: Über die analytische Theorie der quadratischen Formen. III. Ann. of Math.38, 212–291 (1937)

    Google Scholar 

  5. Leopoldt, H.W.: Zur Struktur derl-Klassengruppe galoisher Zahlkörper. J. Reine Angew. Math.199, 165–174 (1958)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Supported in part by National Science Foundation Grant GP-36418X while the author was at the Institute for Advanced Study. The author would like to thank the Institute for its hospitality.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Greenberg, R. A generalization of Kummer's criterion. Invent Math 21, 247–254 (1973). https://doi.org/10.1007/BF01390200

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01390200

Navigation