On algebraic integers in short intervals and near smooth curves
نویسنده
چکیده
In 1970 A. Baker and W. Schmidt introduced the concept of a regular system of numbers and vectors. They proved that the set of real algebraic numbers forms a regular system on any fixed interval. This fact has allowed to prove some important results in the metric theory of transcendental numbers. In this paper their approach is applied to the set of algebraic integers α in short intervals of length depending on the height of α.
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تاریخ انتشار 2016