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An introduction to odd-odd continued fractions

发布时间:2019-11-11 作者: 浏览次数:
Speaker: 廖灵敏 DateTime: 2019年11月13日 (星期三)上午9:00-10:30
Brief Introduction to Speaker:

廖灵敏,东巴黎大学

Place: 六号楼二楼报告厅
Abstract:By using an accelerated algorithm of Romik's dynamical system, we introduce a new continued fraction algorithm called odd-odd continued fraction. The principal convergents of these new continued fractions are rational numbers of odd denominators and odd numerators. It is proved that all the best approximating rationals of odd denominators and odd numerators of an irrational number is given by the principal convergents of the odd-odd continued fraction algorithm and vice versa. This is a joint work with Dong Han KIM and Seul Bee LEE.