Geodesic
Explicit estimates on the summatory functions of the Möbius function with coprimality restrictions
Olivier Ramaré1
1 CNRS, Laboratoire Paul Painlevé Université Lille 1 59 655 Villeneuve d'Ascq, France
Acta Arithmetica, Tome 165 (2014) no. 1, pp. 1-10.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove that $|\!\sum_{d\le x,\, (d,q)=1}\mu(d)/d|\le 2.4(q/\varphi(q))/\!\log (x/q)$ for every $x>q\ge1$, and similar estimates for the Liouville function. We also give better constants when $x/q$ is large.,
DOI : 10.4064/aa165-1-1
Keywords: prove sum varphi log every similar estimates liouville function better constants large

Olivier Ramaré 1

1 CNRS, Laboratoire Paul Painlevé Université Lille 1 59 655 Villeneuve d'Ascq, France 
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Olivier Ramaré. Explicit estimates on the summatory functions of the Möbius function with coprimality restrictions. Acta Arithmetica, Tome 165 (2014) no. 1, pp. 1-10. doi : 10.4064/aa165-1-1. http://geodesic.mathdoc.fr/articles/10.4064/aa165-1-1/

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