PERIOD-LENGTH EQUALITY FOR THE NEAREST INTEGER AND NEAREST SQUARE CONTINUED FRACTION EXPANSIONS OF A QUADRATIC SURD

被引：1
|
作者：
Matthews, Keith R. [1 ,2 ]
Robertson, John P. [3 ]
机构：
[1] Univ Queensland, Dept Math, Brisbane, Qld 4072, Australia
[2] Australian Natl Univ, Ctr Math & Its Applicat, Canberra, ACT 0200, Australia
[3] Natl Council Compensat Insurance, Actuarial & Econ Serv Div, Boca Raton, FL 33487 USA
来源：
GLASNIK MATEMATICKI | 2011年 / 46卷 / 02期
关键词：
Nearest square continued fraction; nearest integer continued fraction; period-length; reduced quadratic irrational;
D O I：
10.3336/gm.46.2.01
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove equality of the period-lengths of the nearest integer continued fraction and the nearest square continued fraction, for arbitrary real quadratic irrationals.
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页码：269 / 282
页数：14
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