Explicit continued fractions with expected partial quotient growth期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Explicit continued fractions with expected partial quotient growth

Authors:	Takeshi Okano

Affiliation:	Department of Mathematics, Saitama Institute of Technology, Okabe-machi, Saitama 369-0293, Japan

Abstract:	For let be the continued fraction expansion of . Write $begin{displaymath}L_N(x)=max_{1le nle N}a_n(x).end{displaymath}$ We construct some numbers 's with $begin{displaymath}lim_{Ntoinfty}inf N^{-1}L_N(x)loglog N=1/log 2.end{displaymath}$

Keywords:	Continued fractions measure theory

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