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- W2519471763 abstract "In classical prime number theory there are several asymptotic formulas said to be equivalent to the PNT. One is the bound $M(x) = o(x)$ for the sum function of the Moebius function. For Beurling generalized numbers, this estimate is not an unconditional consequence of the PNT. Here we give two conditions that yield the Beurling version of the $M(x)$ bound, and examples illustrating failures when these conditions are not satisfied." @default.
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- W2519471763 date "2016-09-12" @default.
- W2519471763 modified "2023-09-27" @default.
- W2519471763 title "$M(x)=o(x)$ Estimates for Beurling numbers" @default.
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