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Positive values of inhomogeneous quaternary quadratic forms, I

Published online by Cambridge University Press:  09 April 2009

Vishwa Chander Dumir
Vishwa Chander Dumir
Affiliation:
University of IllinoisUrbana, Illinois
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Let Q(x1, …, xn) be an indefinite quadratic form in n-variables with real coefficients, determinant D ≠ 0 and signature (r, s), r+s = n. Then it is known (e.g. see Blaney [2]) that there exist constants Γr, s depending only on r and s such for any real numbers c1, …, cn we can find integers x1, …, xn satisfying

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 8 , Issue 1 , February 1968 , pp. 87 - 101
Copyright
Copyright © Australian Mathematical Society 1968

References

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