On Square-full Numbers in Short Intervals

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刘弘泉
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<正> It is shown that the number of square-full numbers in the interval [x ,x+x1/2+θ] isasymptotically equal to 1/2 ·ξ(3/2)/ξ(3) xθ for every θ in the range 1/6>θ≥0.14254, which extendsP.Shiu's range 1/6>θ≥0.1526.
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