Geodesic
On algebraic integers in short intervals and near smooth curves
Friedrich Götze1 ; Anna Gusakova1
1 University of Bielefeld Bielefeld, Germany
Acta Arithmetica, Tome 179 (2017) no. 3, pp. 251-265.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

In 1970 A. Baker and W. Schmidt introduced regular systems of numbers and vectors, showing that the set of real algebraic numbers forms a regular system on any fixed interval. This fact was used to prove several important results in the metric theory of transcendental numbers. In this paper the concept of a regular system is applied to the set of algebraic integers of height $\leq Q$ in intervals of length depending on $Q$.
DOI : 10.4064/aa8333-2-2017
Keywords: baker schmidt introduced regular systems numbers vectors showing set real algebraic numbers forms regular system fixed interval prove several important results metric theory transcendental numbers paper concept regular system applied set algebraic integers height leq intervals length depending nbsp

Friedrich Götze 1 ; Anna Gusakova 1

1 University of Bielefeld Bielefeld, Germany 
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Friedrich Götze; Anna Gusakova. On algebraic integers in short intervals and near smooth curves. Acta Arithmetica, Tome 179 (2017) no. 3, pp. 251-265. doi : 10.4064/aa8333-2-2017. http://geodesic.mathdoc.fr/articles/10.4064/aa8333-2-2017/

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