My conjecture is that using the Selberg-Delange method the next asymptotic equality holds(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \sum_{n \le N } \mu (n) \sim (\sqrt n )log^{a}(n) \frac{G(c)}{\Gamma (b)} [/tex]

where a,b and c are positive constants and Gamma stands for (n-1)! , G(c) is just [tex] G(c) \zeta (c) =1 [/tex]

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# Asymptotic expansion for Mertens function

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