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arXiv · 1902.03870

Hal\'{a}sz's theorem for Beurling generalized numbers

Gregory Debruyne·Frederick Maes·Jasson Vindas
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Abstract

We show that Hal\'{a}sz'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.

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Gregory Debruyne, Frederick Maes, Jasson Vindas. 2019-02-11. Hal\'{a}sz's theorem for Beurling generalized numbers. https://doi.org/10.4064/aa190210-22-5

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