Hostname: page-component-586b7cd67f-r5fsc Total loading time: 0 Render date: 2024-11-26T11:52:25.405Z Has data issue: false hasContentIssue false
  • English
  • Français

The minima of a pair of indefinite, harmonic, binary quadratic forms

Published online by Cambridge University Press:  24 October 2008

Kathleen Ollerenshaw
Kathleen Ollerenshaw
Affiliation:
Somerville CollegeOxford
Get access Rights & Permissions [Opens in a new window]

Extract

If f is a real, indefinite, binary quadratic form of discriminant d and if κ(f) is the minimum of | f | taken over all integer values of x, y, not both zero, then it is well known that and that this is a ‘best possible’ result.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 41 , Issue 2 , June 1945 , pp. 77 - 96
Copyright
Copyright © Cambridge Philosophical Society 1945

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Mahler, K.Proc. London Math. Soc. (In the press.)Google Scholar
(2)Minkowski, H.Diophantische Approximationen (Berlin, 1927).Google Scholar
(3)Hardy, G. H. and Wright, E. M.An Introduction to the Theory of Numbers (Oxford, 1938).Google Scholar