报告人：房路路（南京理工大学）

邀请人：张一威

报告时间：2021年9月16日（星期四）17:00-19:00

报告地点：启明学院创新研究院813

报告题目：On the largest partial quotients of continued fraction expansions

报告摘要：

Let M_n(x) be the largest partial quotient among the first n terms in the continued fraction of x. In this talk, we will give some metric and dynamical properties of M_n(x). In particular, the set of x’s for which M_n(x) increases to infinity with a certain rate is calculated.

This property will enhance us to better understanding on the the accuracy of Ramanujan Machine.

报告人简介：房路路，南京理工大学副教授，研究方向为动力系统及其应用。近年来，在 Math. Z.、Nonlinearity.等杂志发表论文十余篇，主持国家自然科学基金青年项目。