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An explicit dense universal Hilbert set
Published online by Cambridge University Press: 20 June 2018
Abstract
We provide the first explicit example of a universal Hilbert set ${\Ncal S}$ having asymptotic density 1 in the set of integers. More precisely, the number of integers not in ${\Ncal S}$ with absolute value ≤ X is bounded by X/(log X)δ, where δ = 1 − (1 + loglog 2)/(log 2) = 0.086071. . ..
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 167 , Issue 3 , November 2019 , pp. 531 - 547
- Copyright
- Copyright © Cambridge Philosophical Society 2018
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