Polynomial cycles in certain rings of rationals

Narkiewicz, Władysław

Narkiewicz, Władysław

Journal de théorie des nombres de Bordeaux, Tome 14 (2002) no. 2, pp. 529-552.

Résumé
Abstract

On montre que la méthode développée dans [HKN3] peut être appliquée pour l’étude des cycles polynomiaux dans certains anneaux, notamment les anneaux $𝐙 [\frac{1}{N}]$ pour lesquels nous décrivons les cycles polynomiaux lorsque $N$ est impair ou le double d’un nombre premier.

It is shown that the methods established in [HKN3] can be effectively used to study polynomial cycles in certain rings. We shall consider the rings $𝐙 [\frac{1}{N}]$ and shall describe polynomial cycles in the case when $N$ is either odd or twice a prime.

Zbl

@article{JTNB_2002__14_2_529_0,
     author = {Narkiewicz, W{\l}adys{\l}aw},
     title = {Polynomial cycles in certain rings of rationals},
     journal = {Journal de th\'eorie des nombres de Bordeaux},
     pages = {529--552},
     publisher = {Universit\'e Bordeaux I},
     volume = {14},
     number = {2},
     year = {2002},
     zbl = {1071.11017},
     language = {en},
     url = {http://www.numdam.org/item/JTNB_2002__14_2_529_0/}
}

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Narkiewicz, Władysław. Polynomial cycles in certain rings of rationals. Journal de théorie des nombres de Bordeaux, Tome 14 (2002) no. 2, pp. 529-552. http://www.numdam.org/item/JTNB_2002__14_2_529_0/

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