Geodesic
On the concentration of certain additive functions
Dimitris Koukoulopoulos1
1 Département de Mathématiques et de Statistique Université de Montréal CP 6128 succ. Centre-Ville Montréal, Québec H3C 3J7, Canada
Acta Arithmetica, Tome 162 (2014) no. 3, pp. 223-241

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

We study the concentration of the distribution of an additive function $f$ when the sequence of prime values of $f$ decays fast and has good spacing properties. In particular, we prove a conjecture by Erdős and Kátai on the concentration of $f(n)=\sum_{p|n}(\log p)^{-c}$ when $c>1$.
DOI : 10.4064/aa162-3-2
Keywords: study concentration distribution additive function sequence prime values decays fast has spacing properties particular prove conjecture erd tai concentration sum log c

Dimitris Koukoulopoulos 1

1 Département de Mathématiques et de Statistique Université de Montréal CP 6128 succ. Centre-Ville Montréal, Québec H3C 3J7, Canada 
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Dimitris Koukoulopoulos. On the concentration of certain additive functions. Acta Arithmetica, Tome 162 (2014) no. 3, pp. 223-241. doi: 10.4064/aa162-3-2

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