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

Published online by Cambridge University Press:  09 April 2009

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

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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

All critical forms are also obtained.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 31 , Issue 2 , August 1981 , pp. 175 - 188
Copyright
Copyright © Australian Mathematical Society 1982

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