The distribution of cube-full numbers
Glasgow mathematical journal, Tome 33 (1991) no. 3, pp. 287-295

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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 < x2⁄3+θ where 140/1123 < θ < 1/3.
Shiu, P. The distribution of cube-full numbers. Glasgow mathematical journal, Tome 33 (1991) no. 3, pp. 287-295. doi: 10.1017/S0017089500008351
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