Hostname: page-component-78c5997874-lj6df Total loading time: 0 Render date: 2024-11-19T03:54:19.655Z Has data issue: false hasContentIssue false
  • English
  • Français

Class numbers and quadratic residues

Published online by Cambridge University Press:  18 May 2009

S. Chowla  and
J. Friedlander
S. Chowla
Affiliation:
Institute for Advanced StudyPrinceton, NJ 08540
J. Friedlander
Affiliation:
Massachusetts Institute of Technology Cambridge, MA 02139
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

It has long been known that there is a strong connection between the class numbers of quadratic fields and the distribution of quadratic residues. This connection is exemplified, for instance, by the class number formulae of Dirichlet, which have formed the basis of much of the work on the subject of class numbers.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 17 , Issue 1 , January 1976 , pp. 47 - 52
Copyright
Copyright © Glasgow Mathematical Journal Trust 1976

References

REFERENCES

1.Cohn, H., A Second Course in Number Theory (Wiley, 1962).Google Scholar
2.Hendy, M. D., Prime quadratics associated with complex quadratic fields of class number two, Proc. American Math. Soc. 43 (1974), 253–260.CrossRefGoogle Scholar
3.Vinogradov, A. I. and Linnik, Y. V., Hyperelliptic curves and the least prime quadratic residue, Doklady (1966) Tom 168, No. 2, 612–614.Google Scholar