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Note on some linear Diophantine Inequalities

Published online by Cambridge University Press:  24 October 2008

L. J. Mordell
L. J. Mordell
Affiliation:
St John's College
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Extract

Let A, B, C, D, P, Q be any real constants such that

.

A well-known theorem by Minkowski states that integer values of x, y exist such that

.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 26 , Issue 4 , October 1930 , pp. 489 - 490
Copyright
Copyright © Cambridge Philosophical Society 1930

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References

* I have given a simple proof in the Journal of the London Mathematical Society, 3 (1927) 19–22.Google Scholar