Geodesic
On the distribution of the Euler function of shifted smooth numbers
Stefanie S. Loiperdinger 1   ; Igor E. Shparlinski 1
1 Department of Computing Macquarie University Sydney, NSW, 2109, Australia
Colloquium Mathematicum, Tome 120 (2010) no. 1, pp. 139-148 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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 
@article{10_4064_cm120_1_10,
     author = {Stefanie S. Loiperdinger and Igor E. Shparlinski},
     title = {On the distribution of the {Euler} function of
 shifted smooth numbers},
     journal = {Colloquium Mathematicum},
     pages = {139--148},
     year = {2010},
     volume = {120},
     number = {1},
     doi = {10.4064/cm120-1-10},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm120-1-10/}
}
TY  - JOUR
AU  - Stefanie S. Loiperdinger
AU  - Igor E. Shparlinski
TI  - On the distribution of the Euler function of
 shifted smooth numbers
JO  - Colloquium Mathematicum
PY  - 2010
SP  - 139
EP  - 148
VL  - 120
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm120-1-10/
DO  - 10.4064/cm120-1-10
LA  - en
ID  - 10_4064_cm120_1_10
ER  - 
%0 Journal Article
%A Stefanie S. Loiperdinger
%A Igor E. Shparlinski
%T On the distribution of the Euler function of
 shifted smooth numbers
%J Colloquium Mathematicum
%D 2010
%P 139-148
%V 120
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/cm120-1-10/
%R 10.4064/cm120-1-10
%G en
%F 10_4064_cm120_1_10
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

Cité par Sources :