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

Hans-Gill, R. J. ; Raka, Madhu (1981) Positive values of inhomogeneous quinary quadratic forms of type (4,1) Journal of the Australian Mathematical Society, 31 (2). pp. 175-188. ISSN 1446-7887

[img]
Preview
PDF - Publisher Version
465kB

Official URL: http://journals.cambridge.org/action/displayAbstra...

Related URL: http://dx.doi.org/10.1017/S1446788700033450

Abstract

Here 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 0 < Q(x+x0, y+y0, z+z0, t+t0, u+u0)<|D|1/3.

Item Type:Article
Source:Copyright of this article belongs to Australian Mathematical Society.
ID Code:12353
Deposited On:10 Nov 2010 06:24
Last Modified:16 May 2016 21:42

Repository Staff Only: item control page