Asymptotics of the k‐free diffraction measure via discretisation

DOI10.1112/blms.12450zbMath1486.11098arXiv1907.04845OpenAlexW3122870371MaRDI QIDQ5006382

Efthymios Sofos, Nick Rome

Publication date: 13 August 2021

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.04845

zbMATH Keywords

Riemann hypothesis\(k\)-free integersdiffraction measurediscretisation approach

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Distribution of integers with specified multiplicative constraints (11N25) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Quasicrystals and aperiodic tilings in discrete geometry (52C23) Arithmetic functions in probabilistic number theory (11K65) Relations between ergodic theory and number theory (37A44)

Cites Work

• On weak model sets of extremal density
• On the distribution of squarefree numbers
• Diffraction from visible lattice points and \(k\)th power free integers
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