We determine, up to a constant factor, the L1 mean of the exponential sum formed with the r-free integers. This improves earlier results of Brüdern, Granville, Perelli, Vaughan and Wooley. As an application, we improve the known bound for the L1 norm of the exponential sum defined with the Möbius function.
|Number of pages||12|
|Journal||Acta Mathematica Hungarica|
|Publication status||Published - Dec 1 2001|
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