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Halász's theorem for Beurling generalized numbers

Journal Contribution - Journal Article

Subtitle:Halasz's theorem for Beurling generalized numbers
We show that Halász’s theorem holds for Beurling numbers under the following two mild hypotheses on the generalized number system: existence of a positive density for the generalized integers and a Chebyshev upper bound for the generalized primes.
Journal: ACTA ARITHMETICA
ISSN: 1730-6264
Issue: 1
Volume: 194
Pages: 59 - 72
Publication year:2020
Accessibility:Open