On the Möbius function

Maier, Helmut

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

On the Möbius function

Author: Helmut Maier
Journal: Trans. Amer. Math. Soc. 301 (1987), 649-664
MSC: Primary 11N37; Secondary 11B05, 11K65, 11N45
DOI: https://doi.org/10.1090/S0002-9947-1987-0882708-5
MathSciNet review: 882708
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Abstract: We investigate incomplete convolutions of the Möbius function of the form $\sum\nolimits_{d\vert n;d \leq z} {\mu (d)}$ . It is shown that for almost all integers one can find for which this sum is large.

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