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

Hans-Gill, R. J. ; Raka, Madhu (1980) Positive values of inhomogeneous 5-ary quadratic forms of type (3, 2) Journal of the Australian Mathematical Society, 29 (4). pp. 439-453. ISSN 1446-7887

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Related URL: http://dx.doi.org/10.1017/S1446788700021601

Abstract

Let Q(x, y, z, t, u) be a real indefinite 5-ary quadratic form of type (3,2) and determinant D(> 0). 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)≤(16D)1/5. All the critical forms are also determined.

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Deposited On:10 Nov 2010 06:23
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