Geodesic
The Sum of the Unitary Divisor Function
Publications de l'Institut Mathématique, _N_S_97 (2015) no. 111, p. 175 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We establish a new upper bound on the function $\sigma^*(n)$, the sum of all coprime divisors of $n$. The main result is that $\sigma^*(n)\leq 1.3007 n\log\log n$ for all $n\geq 570\,571$.
DOI : 10.2298/PIM140617001T
Classification : 11A2, 11N56
Keywords: unitary divisors, exponential divisors, arithmetic functions 
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Tim Trudgian. The Sum of the Unitary Divisor Function. Publications de l'Institut Mathématique, _N_S_97 (2015) no. 111, p. 175 . doi : 10.2298/PIM140617001T. http://geodesic.mathdoc.fr/articles/10.2298/PIM140617001T/

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