FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
On continued fractions of equal length |
Ustinov A. V. |
2014, issue 1, P. 96-99 |
Abstract |
| The article gives a one-parameter family of rational numbers whose expansions in reduced regular continued fractions (Hirzebruch fractions) have equal lengths. |
Keywords: continued fractions |
Download the article (PDF-file) |
References |
| [1] Grekhem R. L., Knut D. E., Patashnik O., Konkretnaia matematika. Osnovanie informatiki, Mir, M., 1998. [2] A. V. Ustinov, “Korotkoe dokazatel'stvo tozhdestva Eilera dlia kontinuantov”, Matem. zametki, 79:1 (2006), 155–156; Math. Notes, 79:1 (2006), 146-147. [3] Perron O., Die Lehre von den Kettenbruechen (Band 1)., B.G. Teubner Verlagsgesellschaft, Stuttgart, 1954. [4] Zaimi G., Length of Hirzebruch continued fractions, http://mathoverflow.net/. |