On algebraic integers in short intervals and near smooth curves
Number Theory
2017-11-30 v3
Abstract
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 in intervals of length depending on .
Keywords
Cite
@article{arxiv.1602.01630,
title = {On algebraic integers in short intervals and near smooth curves},
author = {Friedrich Götze and Anna Gusakova},
journal= {arXiv preprint arXiv:1602.01630},
year = {2017}
}