数学杂志2006，Vol.26Issue(5)：509-512,4.
复数的Eisenstein有理逼近中不可很好逼近点集的Hausdorff维数
HAUSDORFF DIMENSION OF BADLY APPROXIMABLE POINTS IN APPROXIMATION OF COMPLEX NUMBERS BY EISENSTEIN RATIONALS
马超1
作者信息
- 1. 武汉大学数学与统计学院,湖北,武汉,430072
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摘要
Abstract
In this paper, we study the approximation of complex numbers by Eisenstein rationals and obtain the exact Hausdorff dimension of the set of badly approximable numbers B(ω),using the method of the game.关键词
丢番图逼近/Hausdorff维数/Eisenstein有理数/Gaussian有理数Key words
Diophantine approximation/Hausdorff dimension/Eisenstein rationals/Gaussian rationals分类
数理科学引用本文复制引用
马超..复数的Eisenstein有理逼近中不可很好逼近点集的Hausdorff维数[J].数学杂志,2006,26(5):509-512,4.
