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Some metric results about the product of consecutive continued fraction digits
余月力 副教授(武大2021欧洲杯买球平台官网)
2021欧洲杯买球平台官网东北楼四楼报告厅(404)
In this talk, we consider the distribution ofai(x)ai+1(x), whereai(x)is thei-th partial quotient in the continued fraction expansions ofx.We provesome metric results aboutai(x)ai+1(x)and obtain the Hausdorff dimensions of related exceptional sets.