On the quadratic Lagrange spectrum

被引：8

作者：

Bugeaud, Yann ^{[1
]}

机构：

[1] Univ Strasbourg, F-67084 Strasbourg, France

来源：

MATHEMATISCHE ZEITSCHRIFT | 2014年 / 276卷 / 3-4期

关键词：

Lagrange spectrum; Continued fractions; Transcendence; DIOPHANTINE APPROXIMATION; CONTINUED FRACTIONS;

D O I：

10.1007/s00209-013-1230-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the quadratic Lagrange spectrum defined by Parkkonen and Paulin by considering the approximation by elements of the orbit of a given real quadratic irrational number for the action by homographies and anti-homographies of on . Our approach is based on the theory of continued fractions.

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收藏

页码：985 / 999

页数：15

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