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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

On the Möbius function


Author: Helmut Maier
Journal: Trans. Amer. Math. Soc. 301 (1987), 649-664
MSC: Primary 11N37; Secondary 11B05, 11K65, 11N45
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 $ n$ one can find $ z$ for which this sum is large.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1987-0882708-5
PII: S 0002-9947(1987)0882708-5
Article copyright: © Copyright 1987 American Mathematical Society