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On the Exponential sum over r-Free Integers

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Abstract

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.

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  1. ALFRÉD RÉNYI MATHEMATICAL INSTITUTE, BUDAPEST, 1364, P.O.BOX 127

    A. Balog & I. Z. Ruzsa

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  1. A. Balog
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  2. I. Z. Ruzsa
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Balog, A., Ruzsa, I.Z. On the Exponential sum over r-Free Integers. Acta Mathematica Hungarica 90, 219–230 (2001). https://doi.org/10.1023/A:1006754512257

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  • DOI: https://doi.org/10.1023/A:1006754512257

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