A generalization of continued fractions

被引：13

作者：

Anselm, Maxwell ^{[1
]}

Weintraub, Steven H. ^{[1
]}

机构：

[1] Lehigh Univ, Dept Math, Bethlehem, PA 18015 USA

来源：

JOURNAL OF NUMBER THEORY | 2011年 / 131卷 / 12期

关键词：

Continued fractions; Pell's equation; SHRINKING;

D O I：

10.1016/j.jnt.2011.06.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate a generalization of classical continued fractions, where the "numerator" 1 is replaced by an arbitrary positive integer N. We find both similarities to and surprising differences from the classical case. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：2442 / 2460

页数：19

共 4 条

[1] Shrinking the period lengths of continued fractions while still capturing convergents
Burger, Edward B.
Gell-Redirian, Jesse
Kravitz, Ross
Walton, Daniel
Yates, Nicholas
[J]. JOURNAL OF NUMBER THEORY, 2008, 128 (01) : 144 - 153
[2] Shrinking the period length of quasi-periodic continued fractions
Komatsu, Takao
[J]. JOURNAL OF NUMBER THEORY, 2009, 129 (02) : 358 - 366
[3] Kumanduri Ramanujachary., 1998, Number Theory with Computer Applications
[4] Perron O., 1913, Die Lehre von den Kettenbruchen

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