A PNT equivalence for Beurling numbers
Harold G. Diamond and Wen-Bin Zhang
Source: Funct. Approx. Comment. Math.
Volume 46, Number 2
In classical prime number theory, several relations are considered to be equivalent to the Prime Number Theorem. For Beurling generalized numbers, some auxiliary conditions may be needed to deduce one relation from another one. We show conditions under which the Beurling analog of the sharp version of Mertens' sum formula does or does not hold.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.facm/1340628404
Digital Object Identifier: doi:10.7169/facm/2012.46.2.7
Zentralblatt MATH identifier: 06074841
Mathematical Reviews number (MathSciNet): MR2931668
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