Geodesic
SOME DIVISIBILITY PROPERTIES OF THE EULER FUNCTION
Glasgow mathematical journal, Tome 47 (2005) no. 3, pp. 517-528

Voir la notice de l'article provenant de la source Cambridge

DOI

Let $\varphi(\cdot)$ denote the Euler function, and let $a>1$ be a fixed integer. We study several divisibility conditions which exhibit typographical similarity with the standard formulation of the Euler theorem, such as $a^n \equiv 1\!\!\!\!\pmod{\varphi(n)}$, and we estimate the number of positive integers $n\le x$ satisfying these conditions.
DOI : 10.1017/S0017089505002752
Mots-clés : 11A07, 11N37 
BANKS, WILLIAM D.; LUCA, FLORIAN; SHPARLINSKI, IGOR E. SOME DIVISIBILITY PROPERTIES OF THE EULER FUNCTION. Glasgow mathematical journal, Tome 47 (2005) no. 3, pp. 517-528. doi: 10.1017/S0017089505002752
@article{10_1017_S0017089505002752,
     author = {BANKS, WILLIAM D. and LUCA, FLORIAN and SHPARLINSKI, IGOR E.},
     title = {SOME {DIVISIBILITY} {PROPERTIES} {OF} {THE} {EULER} {FUNCTION}},
     journal = {Glasgow mathematical journal},
     pages = {517--528},
     year = {2005},
     volume = {47},
     number = {3},
     doi = {10.1017/S0017089505002752},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002752/}
}
TY  - JOUR
AU  - BANKS, WILLIAM D.
AU  - LUCA, FLORIAN
AU  - SHPARLINSKI, IGOR E.
TI  - SOME DIVISIBILITY PROPERTIES OF THE EULER FUNCTION
JO  - Glasgow mathematical journal
PY  - 2005
SP  - 517
EP  - 528
VL  - 47
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002752/
DO  - 10.1017/S0017089505002752
ID  - 10_1017_S0017089505002752
ER  - 
%0 Journal Article
%A BANKS, WILLIAM D.
%A LUCA, FLORIAN
%A SHPARLINSKI, IGOR E.
%T SOME DIVISIBILITY PROPERTIES OF THE EULER FUNCTION
%J Glasgow mathematical journal
%D 2005
%P 517-528
%V 47
%N 3
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002752/
%R 10.1017/S0017089505002752
%F 10_1017_S0017089505002752

Cité par Sources :