On the region defined by | xy | ≤ 1, x2 + y2 ≤ t
Published online by Cambridge University Press: 24 October 2008
Extract
In this paper I find the critical lattices of the region Kt defined by the inequalities | xy | ≤ 1, x2 + y2 ≤ t (t > 0). I deduce in §9 the arithmetic minima of a pair of binary quadratic forms
where f1 is indefinite, f2 is positive definite, and f1, f2 are harmonically related, that is to say
and
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 49 , Issue 1 , January 1953 , pp. 63 - 71
- Copyright
- Copyright © Cambridge Philosophical Society 1953
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