Some metric results about the product of consecutive continued fraction digits-武汉大学数学与统计学院

报告题目:

Some metric results about the product of consecutive continued fraction digits

报告人:

余月力副教授（武大数学与统计学院）

报告时间:

报告地点:

理学院东北楼四楼报告厅（404）

报告摘要:

In this talk, we consider the distribution ofa_i(x)a_i+1(x), wherea_i(x)is thei-th partial quotient in the continued fraction expansions ofx.We provesome metric results abouta_i(x)a_i+1(x)and obtain the Hausdorff dimensions of related exceptional sets.