CONTINUED FRACTIONS OF SQUARE ROOTS OF NATURAL NUMBERS

被引：0

作者：

Balkova, Lubomira ^{[1
]}

Hruskova, Aranka ^{[2
]}

机构：

[1] Czech Tech Univ, Fac Nucl Sci & Phys Engn, Dept Math, Trojanova 13, Prague 12000 2, Czech Republic

[2] Gymnazium Christiana Dopplera, Prague 15000 5, Smichov, Czech Republic

来源：

ACTA POLYTECHNICA | 2013年 / 53卷 / 04期

关键词：

continued fractions; periodic continued fractions; periods of continued fractions; quadratic numbers;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we will first summarize known results concerning continued fractions. Then we will limit our consideration to continued fractions of quadratic numbers. The second author describes periods and sometimes the precise form of continued fractions of root N, where N is a natural number. In cases where we have been able to find such results in the literature, we recall the original authors, however many results seem to be new.

引用

页码：322 / 328

页数：7

共 8 条

[1] LENGTH OF PERIOD OF SIMPLE CONTINUED FRACTION EXPANSION OF SQUARE-ROOT D
HICKERSON, DR
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1973, 46 (02) : 429 - 432
[2] Hruskova A., 2013, RETEZOVE ZLOMKY KVAD
[3] Klazar M., 2006, KAM DIMATIA SERIES, V782
[4] Lauritzen N., 2009, CONTINUED FRACTIONS
[5] Masakova Z., 2010, TEORIE CISEL
[6] Muller J.-M., 2006, ELEMENTARY FUNCTIONS
[7] Seidensticker R. B., 1983, Proceedings of the 6th Symposium on Computer Arithmetic, P184
[8] Sierpinski W., 1964, ELEMENTARY THEORY NU

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