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Positive points in polar lattices
Published online by Cambridge University Press: 09 April 2009
Abstract
The authors investigate max min μF(x) F(y)for two standard distance functions F in R2, where μ denotes the area of {x ∈ R2; F(x)≤ 1}, the maximum is over all (geometric) lattices Λ in R2 and the minimum is over all positive points x ∈ Λ and y ∈ Λ* (the polar lattice of Λ). An application is given to a problem on fractional parts.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 26 , Issue 3 , November 1978 , pp. 348 - 352
- Copyright
- Copyright © Australian Mathematical Society 1978
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