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A Restricted Inhomogeneous Minimum for Forms

Published online by Cambridge University Press:  09 April 2009

P. E. Blanksby
P. E. Blanksby
Affiliation:
Mathematics Department University of Adelaide
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Let us suppose that ƒ(x, y) is an indefinite binary quadratic form that does not represent zero. If P is the real point (x0, y0) then we may define where the infimum is taken over all integral x, y. The inhomogeneous minimum of the form ƒ is defined where the supremum taken over all real points P, need only extend over some complete set of points, incongruent mod 1.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 9 , Issue 3-4 , May 1969 , pp. 363 - 386
Copyright
Copyright © Australian Mathematical Society 1969

References

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