ON A PROBLEM OF ERDOS AND MAHLER CONCERNING CONTINUED FRACTIONS

被引：0
|
作者：
Lelis, Jean [1 ]
Marques, Diego [1 ]
机构：
[1] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2017年 / 95卷 / 02期
关键词：
continued fractions; Liouville numbers; linear forms in logarithms; ANALOGON;
D O I：
10.1017/S0004972716000770
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In 1939, Erdos and Mahler ['Some arithmetical properties of the convergents of a continued fraction', J. Lond. Math. Soc. (2) 14 (1939), 12-18] studied some arithmetical properties of the convergents of a continued fraction. In particular, they raised a conjecture related to continued fractions and Liouville numbers. In this paper, we shall apply the theory of linear forms in logarithms to obtain a result in the direction of this problem.
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收藏
页码：183 / 186
页数：4
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