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The distribution of cube-full numbers
Published online by Cambridge University Press: 18 May 2009
Abstract
An elementary derivation of the asymptotic formula for the number of cube-full numbers up to x is given. This derivation is used, together with an estimation of a three dimensional exponential sum, to establish the asymptotic formula for the number of cube-full numbers in the short interval x < n < x⅔+θ where 140/1123 < θ < 1/3.
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- Research Article
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- Copyright © Glasgow Mathematical Journal Trust 1991
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