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Uniform distribution and lattice point counting
Published online by Cambridge University Press: 09 April 2009
Abstract
A well-known theorem of Hardy and Littlewood gives a three-term asymptotic formula, counting the lattice points inside an expanding, right triangle. In this paper a generalisation of their theorem is presented. Also an analytic method is developed which enables one to interpret the coefficients in the formula. These methods are combined to give a generalisation of a “heightcounting” formula of Györy and Pethö which itself was a generalisation of a theorem of Lang.
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- Research Article
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- Copyright © Australian Mathematical Society 1992
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