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Inhomogeneous minimum of indefinite quaternary quadratic forms†

Published online by Cambridge University Press:  24 October 2008

Vishwa Chander Dumir
Vishwa Chander Dumir
Affiliation:
Ohio State University, U.S.A.
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Extract

Let Q (x1, …, xn) be a real indefinite quadratic form in n-variables x1,…, xn with signature (r, s),r + s = n and determinant D ≠ 0. Then it is known (see Blaney (2)) that there exists constant Cr, s depending only on r, s such that given any real numbers c1, …,cn we can find integers x1, …, xn satisfying

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 2 , April 1967 , pp. 277 - 290
Copyright
Copyright © Cambridge Philosophical Society 1967

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References

REFERENCES

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