Scaling of the diffraction measure of $k$-free integers near the origin

Australia); Germany); Michael Baake (Bielefeld; Michael Coons (Newcastle

arxiv: 1904.00279 · v3 · pith:YY3JVALBnew · submitted 2019-03-30 · 🧮 math.NT

Scaling of the diffraction measure of k-free integers near the origin

Michael Baake (Bielefeld , Germany) , Michael Coons (Newcastle , Australia) This is my paper

classification 🧮 math.NT

keywords diffractionfreeintegersmeasurenearoriginscalingasymptotics

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Asymptotics are derived for the scaling of the total diffraction intensity for the set of $k$-free integers near the origin, which is a measure for the degree of patch fluctuations.

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Scaling of the diffraction measure of k-free integers near the origin

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