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

Published online by Cambridge University Press:  09 April 2009

R. J. Hans-Gill  and
Madhu Raka
R. J. Hans-Gill
Affiliation:
Centre of Advanced Study in Mathematics Panjab UniversityChandigarh-160014, India
Madhu Raka
Affiliation:
Centre of Advanced Study in Mathematics Panjab UniversityChandigarh-160014, India
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Abstract

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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.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 29 , Issue 4 , June 1980 , pp. 439 - 453
Copyright
Copyright © Australian Mathematical Society 1980

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