LAGRANGE’S THEOREM AND 2- CONTINUED FRACTION EXPANSION
| dc.contributor.author | Kadyrov Sh. | |
| dc.contributor.author | Mashurov F. | |
| dc.date.accessioned | 2023-11-16T06:00:31Z | |
| dc.date.available | 2023-11-16T06:00:31Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | Abstract. The simple continued fraction theory is a sub-branch of number theory that is well developed. One of the classical results is due to Lagrange which states that the simple continued fraction expansion of a real number has eventually periodic expansion if and only if it is quadratic irrational. Similar results are not available when one considers N-continued fraction expansion which is not so well developed theory. In this article, authors aim to provide computational evidence when a quadratic irrational may not necessarily have eventually periodic 2-continued fraction expansion. Moreover, a proof is provided for a special type of real numbers for which Lagrange’s theorem does hold. | |
| dc.identifier.citation | Sh. Kadyrov , F. Mashurov / LAGRANGE’S THEOREM AND 2- CONTINUED FRACTION EXPANSION / СДУ хабаршысы - 2019 | |
| dc.identifier.issn | 2415-8135 | |
| dc.identifier.uri | https://repository.sdu.edu.kz/handle/123456789/794 | |
| dc.language.iso | en | |
| dc.publisher | СДУ хабаршысы - 2019 | |
| dc.subject | Lagrange’s theorem | |
| dc.subject | N-continued fraction | |
| dc.subject | Mathematica software | |
| dc.subject | quadratic irrational number | |
| dc.subject | СДУ хабаршысы - 2019 | |
| dc.subject | №1 | |
| dc.title | LAGRANGE’S THEOREM AND 2- CONTINUED FRACTION EXPANSION | |
| dc.type | Article |