Geodesic
A note on a theorem of Rotkiewicz
Journal of integer sequences, Tome 18 (2015) no. 3
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},
     year = {2015},
     volume = {18},
     number = {3},
     zbl = {1310.11007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2015__18_3_a5/}
}
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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/