Abstract
It is shown that the number of square-full numbers in the interval $$[x,x + x^{\frac{1}{2} + \theta } ]$$ is asymptotically equal to $$\frac{1}{2} \cdot \frac{{\zeta \left( {\frac{3}{2}} \right)}}{{\zeta (3)}}x^\theta$$ for everyθ in the range 1/6>θ⩾0.14254, which extends P.Shiu's range 1/6>θ⩾0.1526.
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