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  • Author or Editor: I. Ruzsa x
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Abstract  

A sequence of natural numbersA=a 1,a 2, ... is constructed such that noa i −a j is a square and there are >x 0,73 a i's belowx.

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Abstract  

We determine, up to a constant factor, the L 1 mean of the exponential sum formed with the r-free integers. This improves earlier results of Brdern, Granville, Perelli, Vaughan and Wooley. As an application, we improve the known bound for the L 1 norm of the exponential sum defined with the Mbius function.

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