On irrationality exponents of generalized continued fractions

被引：6
作者：
Hancl, Jaroslav
Leppala, Kalle
Matala-aho, Tapani
Torma, Topi
机构：
来源：
JOURNAL OF NUMBER THEORY | 2015年 / 151卷
基金：
芬兰科学院;
关键词：
Generalized continued fraction; q-Continued fraction; Irrationality exponent; Binary sequence; ALGEBRAIC-NUMBERS; COMPLEXITY;
D O I：
10.1016/j.jnt.2014.09.034
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Text. We study how the asymptotic irrationality exponent of a given generalized continued fraction K-n=1(infinity) an/bn, an, bn is an element of Z(+) behaves as a function of growth properties of partial coefficient sequences (a(n)) and (b(n)). Video. For a video summary of this paper, please visit http://youtu.be/u5B2ItY9v28. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：18 / 35
页数：18
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