On algebraic points in the plane near smooth curves

被引：2

作者：

Bernik, Vasilii ^{[1
]}

Goetze, Friedrich ^{[2
]}

Kukso, Olga ^{[1
]}

机构：

[1] Inst Math, Minsk 220072, BELARUS

[2] Univ Bielefeld, Fac Math, D-33501 Bielefeld, Germany

来源：

LITHUANIAN MATHEMATICAL JOURNAL | 2014年 / 54卷 / 03期

关键词：

Diophantine approximation; metric number theory; algebraic conjugate numbers; algebraic numbers in short intervals; DIOPHANTINE APPROXIMATION; VALUES;

D O I：

10.1007/s10986-014-9241-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper, we solve the problem on the number of points with algebraic real coordinates near smooth curve. This question is a natural extension of the problems of number theory connected with integer points in the domains and the rational numbers near curves. The main idea of the proof is based on the metric theory on Diophantine approximations.

引用

页码：231 / 251

页数：21

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