Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-10T21:53:49.722Z Has data issue: false hasContentIssue false
  • English
  • Français

Indefinite quadratic forms

Published online by Cambridge University Press:  26 February 2010

D. Ridout
D. Ridout
Affiliation:
Department of Mathematics, University College, London.
Get access

Extract

Let Q(x1 …, xn) be an indefinite quadratic form in n variables with real coefficients. Suppose that when Q is expressed as a sum of squares of real linear forms, with positive and negative signs, there are r positive signs and n—r negative signs. It was proved recently by Birch and Davenport that, if

then for any ε > 0 the inequality

is soluble in integers x1, …, xn, not all 0.

Type
Research Article
Information
Mathematika , Volume 5 , Issue 2 , December 1958 , pp. 122 - 124
Copyright
Copyright © University College London 1958

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

* “Indefinite quadratic forms in many variables”, Mathematika, 5 (1958), 8–12CrossRefGoogle Scholar. This paper will be referred to as BD.

† “Indefinite quadratic forms” (to be published in the Proc. London Math. Soc.).