Abstract
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.
Citation
Harold G. Diamond. Wen-Bin Zhang. "A PNT equivalence for Beurling numbers." Funct. Approx. Comment. Math. 46 (2) 225 - 234, June 2012. https://doi.org/10.7169/facm/2012.46.2.7
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