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A generalisation of Minkowski's second inequality in the geometry of numbers
Published online by Cambridge University Press: 09 April 2009
Extract
Let K be a bounded open convex set in euclidean n-space Rn symmetric in the origin 0. Further let L be a discrete point set in Rn containing 0 and at least n linearly independent points of Rn. Put mi = inf ui extended over all positive real numbers ui for which uiK contains i linearly independent points of L, i = 1, 2, …, n.
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- Copyright © Australian Mathematical Society 1966
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