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On square-full numbers in short intervals |
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| Authors: | Liu Honǵquan |
| Institution: | (1) Department of Mathematics, University of Science and Technology of China, China |
| Abstract: | It is shown that the number of square-full numbers in the interval
![$$x,x + x^{\frac{1}{2} + \theta } ]$$](/content/x4328n070p7354m2/10114_2005_Article_BF02107593_TeX2GIFIE1.gif)
is asymptotically equal to
for every in the range 1/6> 0.14254, which extends P.Shiu's range 1/6>0.1526. |
| Keywords: | |
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