Scaling of the Diffraction Measure of k-Free Integers Near the Origin

Michael Baake; Michael Coons

doi:10.1307/mmj/1592877613

Abstract

We derive asymptotics 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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Michael Baake. Michael Coons. "Scaling of the Diffraction Measure of k-Free Integers Near the Origin." Michigan Math. J. 70 (1) 213 - 221, March 2021. https://doi.org/10.1307/mmj/1592877613

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Received: 1 April 2019; Revised: 2 February 2020; Published: March 2021

First available in Project Euclid: 23 June 2020

Digital Object Identifier: 10.1307/mmj/1592877613

Subjects:

Primary: 11A25

Secondary: 42A16 , 52C23

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