Halász's theorem for Beurling generalized numbers
Volume 194 / 2020
Acta Arithmetica 194 (2020), 59-72
MSC: Primary 11N37, 11N80; Secondary 11N05, 11N64, 11M41.
DOI: 10.4064/aa190210-22-5
Published online: 27 February 2020
Abstract
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.
