Mollin, R.A. (2003) Construction of families of long continued fractions. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 19 (2). pp. 175-181. ISSN 0866-0174
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Abstract
In this survey article, we revisit construction of simple continued fractions of quadratic irrationals with long period lengths, which has generated much interest in the relatively recent literature. We show that new and not-so-new results actually follow from results of Perron in the 1950s and from results of this author from over a decade ago. Moreover, we are able to generalize and simplify numerous such results for a better understanding of the phenomenon.
| Item Type: | Article |
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| Uncontrolled Keywords: | Continued fractions, Pell's Equation, period length |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | Zsolt Baráth |
| Date Deposited: | 30 Jan 2024 11:50 |
| Last Modified: | 30 Jan 2024 11:50 |
| URI: | http://real.mtak.hu/id/eprint/186690 |
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