Geodesic
On the distribution of the Euler function of shifted smooth numbers
Stefanie S. Loiperdinger1 ; Igor E. Shparlinski1
1 Department of Computing Macquarie University Sydney, NSW, 2109, Australia
Colloquium Mathematicum, Tome 120 (2010) no. 1, pp. 139-148.

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

We give asymptotic formulas for some average values of the Euler function on shifted smooth numbers. The result is based on various estimates on the distribution of smooth numbers in arithmetic progressions which are due to A. Granville and É. Fouvry G. Tenenbaum.
DOI : 10.4064/cm120-1-10
Keywords: asymptotic formulas average values euler function shifted smooth numbers result based various estimates distribution smooth numbers arithmetic progressions which due granville fouvry amp tenenbaum

Stefanie S. Loiperdinger 1 ; Igor E. Shparlinski 1

1 Department of Computing Macquarie University Sydney, NSW, 2109, Australia 
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Stefanie S. Loiperdinger; Igor E. Shparlinski. On the distribution of the Euler function of
 shifted smooth numbers. Colloquium Mathematicum, Tome 120 (2010) no. 1, pp. 139-148. doi : 10.4064/cm120-1-10. http://geodesic.mathdoc.fr/articles/10.4064/cm120-1-10/

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