Positive values of inhomogeneous quinary quadratic forms of type (4,1)-Reference-Cited by-同舟云学术

Positive values of inhomogeneous quinary quadratic forms of type (4,1)

Published:1981-08 Issue:2 Volume:31 Page:175-188
ISSN:0263-6115
Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
language:en
Short-container-title:J Aust Math Soc A

Author:

Hans-Gill R. J.,Raka Madhu

Abstract

AbstractHere it is proved that if Q(x, y, z, t, u) is a real indefinite quinary quadratic form of type (4,1) and determinant D, then given any real numbers x0, y0, z0, t0, u0 there exist integers x, y, z, t, u such that

All critical forms are also obtained.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference18 articles.

1. Non-homogeneous ternary quadratic forms

2. The positive values of inhomogeneous ternary quadratic forms

3. Positive values of inhomogeneous quaternary quadratic forms, I

4. Asymmetric Inequalities for Non-Homogeneous Linear Forms

5. Positive values of inhomogeneous 5-ary quadratic forms of type (3, 2)

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