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Asymptotic evaluation of oscillatory sums
Published online by Cambridge University Press: 26 September 2008
Abstract
A stationary phase method is developed for the asymptotic evaluation, as R → ∞, of oscillatory sums of the form
It is extended to multidimensional sums. Numerical comparisons demonstrate the accuracy of the asymptotic approximations. The results are applied to the practical estimation of the number of lattice points in large domains in ℝ2.
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- Copyright © Cambridge University Press 1993
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