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Asymmetric inequalities for non-homogeneous ternary 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

A well-known theorem of Minkowski on the product of two linear forms states that if

are two linear forms with real coefficients and determinant Δ = |αδ − βγ| ≠ 0, then given any real numbers c1, c2 we can find integers x, y such that

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 2 , April 1967 , pp. 291 - 303
Copyright
Copyright © Cambridge Philosophical Society 1967

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References

REFERENCES

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