SOME EXACT ALGEBRAIC EXPRESSIONS FOR THE TAILS OF TASOEV CONTINUED FRACTIONS

被引：1

作者：

Komatsu, Takao ^{[1
]}

机构：

[1] Hirosaki Univ, Grad Sch Sci & Technol, Hirosaki, Aomori 0368561, Japan

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2012年 / 92卷 / 02期

基金：

日本学术振兴会;

关键词：

Tasoev continued fractions; Hurwitz continued fractions; continued fractions; Diophantine approximations; APPROXIMATIONS; EXPANSION; HURWITZ; PROOF;

D O I：

10.1017/S1446788712000158

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Denote the nth convergent of the continued fraction alpha = [a(0); a(1), a(2),...] by p(n)/q(n) = [a(0); a(1),..., a(n)]. In this paper we give exact formulae for the quantities D-n := q(n)alpha - p(n) in several typical types of Tasoev continued fractions. A simple example of the type of Tasoev continued fraction considered is alpha = [0; ua, ua(2), ua(3),...].

引用

页码：179 / 193

页数：15

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