A note on a theorem of Rotkiewicz
Journal of integer sequences, Tome 18 (2015) no. 3.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In 1961, Rotkiewicz presented a generalisation of the well-known fact that $n$ divides $\varphi (a^{n} - 1)$ for all positive integers $n$ and $a > 1$, where $\varphi $ is Euler's totient function. In this note, we extend his result to values of cyclotomic polynomials.
Classification : 11A25, 11B83
Keywords: Euler's totient function, primitive factor, cyclotomic polynomial
@article{JIS_2015__18_3_a5,
     author = {Bayarmagnai, Gombodorj},
     title = {A note on a theorem of {Rotkiewicz}},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2015__18_3_a5/}
}
TY  - JOUR
AU  - Bayarmagnai, Gombodorj
TI  - A note on a theorem of Rotkiewicz
JO  - Journal of integer sequences
PY  - 2015
VL  - 18
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JIS_2015__18_3_a5/
LA  - en
ID  - JIS_2015__18_3_a5
ER  - 
%0 Journal Article
%A Bayarmagnai, Gombodorj
%T A note on a theorem of Rotkiewicz
%J Journal of integer sequences
%D 2015
%V 18
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JIS_2015__18_3_a5/
%G en
%F JIS_2015__18_3_a5
Bayarmagnai, Gombodorj. A note on a theorem of Rotkiewicz. Journal of integer sequences, Tome 18 (2015) no. 3. http://geodesic.mathdoc.fr/item/JIS_2015__18_3_a5/