Geodesic
Elementary remarks on M\"obius' function
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Number theory, algebra, and analysis, Tome 276 (2012), pp. 39-45

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Starting from identities obtained by Möbius inversion, we prove some inequalities involving the ordinary and logarithmic summatory functions of the Möbius function. 
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     author = {Michel Balazard},
     title = {Elementary remarks on {M\"obius'} function},
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     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2012_276_a3/}
}
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Michel Balazard. Elementary remarks on M\"obius' function. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Number theory, algebra, and analysis, Tome 276 (2012), pp. 39-45. http://geodesic.mathdoc.fr/item/TM_2012_276_a3/