On the Möbius function

Maier, Helmut

doi:10.1090/S0002-9947-1987-0882708-5

On the Möbius function
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Trans. Amer. Math. Soc. 301 (1987), 649-664 Request permission

Abstract:

We investigate incomplete convolutions of the Möbius function of the form $\sum \nolimits _{d|n;d \leq z} {\mu (d)}$. It is shown that for almost all integers $n$ one can find $z$ for which this sum is large.

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