Number theory
Exceptional parameters of linear mod one transformations and fractional parts {ξ(p/q)n}
[Paramètres exceptionnels de transformations linéaires mod un et parties fractionnaires {ξ(p/q)n}]

Présenté par : the Editorial Board

Kwon, DoYong1
1 Department of Mathematics, Chonnam National University, Gwangju 500-757, Republic of Korea
Comptes Rendus. Mathématique, Tome 353 (2015) no. 4, pp. 291-296.

Nous étudions des paramètres exceptionnels de transformations linéaires mod un. La présente note prouve que l'ensemble de ces valeurs a zéro pour dimension de Hausdorff. Ceci répond à la question posée par Bugeaud.

We study exceptional parameters of linear mod one transformations. The present note proves that the set of such values has Hausdorff dimension zero. This answers the question posed by Bugeaud.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2015.01.017
Kwon, DoYong 1

1 Department of Mathematics, Chonnam National University, Gwangju 500-757, Republic of Korea 
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Kwon, DoYong. Exceptional parameters of linear mod one transformations and fractional parts $ \{\xi {(p/q)}^{n}\}$. Comptes Rendus. Mathématique, Tome 353 (2015) no. 4, pp. 291-296. doi : 10.1016/j.crma.2015.01.017. http://www.numdam.org/articles/10.1016/j.crma.2015.01.017/

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