Geodesic
Some explicit estimates for the Möbius function
Journal of integer sequences, Tome 18 (2015) no. 11
In this work, we provide some explicit upper bounds for certain sums involving the Möbius function. Thanks to recent results proved by Balazard, some of these bounds improve on earlier estimates given by El Marraki.
Classification : 11N37, 11Y35, 11N56
Keywords: Möbius function, explicit estimate, balazard's inequality 
@article{JIS_2015__18_11_a3,
     author = {Bordell\`es,  Olivier},
     title = {Some explicit estimates for the {M\"obius} function},
     journal = {Journal of integer sequences},
     year = {2015},
     volume = {18},
     number = {11},
     zbl = {1390.11115},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2015__18_11_a3/}
}
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Bordellès,  Olivier. Some explicit estimates for the Möbius function. Journal of integer sequences, Tome 18 (2015) no. 11. http://geodesic.mathdoc.fr/item/JIS_2015__18_11_a3/