Geodesic
On algebraic integers in short intervals and near smooth curves
Friedrich Götze 1   ; Anna Gusakova 1
1 University of Bielefeld Bielefeld, Germany
Acta Arithmetica, Tome 179 (2017) no. 3, pp. 251-265 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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 
@article{10_4064_aa8333_2_2017,
     author = {Friedrich G\"otze and Anna Gusakova},
     title = {On algebraic integers in short intervals and near smooth curves},
     journal = {Acta Arithmetica},
     pages = {251--265},
     year = {2017},
     volume = {179},
     number = {3},
     doi = {10.4064/aa8333-2-2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/aa8333-2-2017/}
}
TY  - JOUR
AU  - Friedrich Götze
AU  - Anna Gusakova
TI  - On algebraic integers in short intervals and near smooth curves
JO  - Acta Arithmetica
PY  - 2017
SP  - 251
EP  - 265
VL  - 179
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/aa8333-2-2017/
DO  - 10.4064/aa8333-2-2017
LA  - en
ID  - 10_4064_aa8333_2_2017
ER  - 
%0 Journal Article
%A Friedrich Götze
%A Anna Gusakova
%T On algebraic integers in short intervals and near smooth curves
%J Acta Arithmetica
%D 2017
%P 251-265
%V 179
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/aa8333-2-2017/
%R 10.4064/aa8333-2-2017
%G en
%F 10_4064_aa8333_2_2017
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

Cité par Sources :