Let $M(x)$ be the summatory function of the Möbius function and $R(x)$ be the remainder term for the number of squarefree integers up to $x$. In this paper, we prove the explicit bounds $|M(x)|
@article{1229618741,
author = {Cohen, Henri and Dress, Francois and El Marraki, Mahomed},
title = {Explicit estimates for summatory functions linked to the M\"obius $\mu$-function},
journal = {Funct. Approx. Comment. Math.},
volume = {37},
number = {1},
year = {2007},
pages = { 51-63},
language = {en},
url = {http://dml.mathdoc.fr/item/1229618741}
}
Cohen, Henri; Dress, Francois; El Marraki, Mahomed. Explicit estimates for summatory functions linked to the Möbius $\mu$-function. Funct. Approx. Comment. Math., Tome 37 (2007) no. 1, pp. 51-63. http://gdmltest.u-ga.fr/item/1229618741/