Maximal continuant of singular continued fraction in ternary case

发布日期:2019-06-21点击数:

报告人:谭 波(华中科技大学)


日  期: 2019年625


时  间: 15:00


地  点: 理科楼 LD302


摘  要::A regular (resp. singular) continuant is the denominator of the regular (resp. singular) continued fractions. C. A. Nicol posed the following problem: given any finite sequence of positive integers, find the permutations whose continuant attain the extremal values. The answers are known for the regular continued fraction expansion, as well as the minimal continuants in the singular expansions. While only partial results exist for the case of maximal singular continuants. We introduce the notation of harmonic sequences, and then elucidate the arrangements of the maximal singular continuants for the sequences consisting of three letters.


报告人简介谭波,华中科技大学教授,博士生导师,国家优秀青年基金获得者。研究方向为代换序列和有限自动机、动力系统、分形几何及其应用。


学院联系人:孔德荣 罗 军


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