Some metric properties on the GCF fraction expansion |
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| Authors: | Luming Shen Yuyuan Zhou |
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| Institution: | Science College of Hunan Agriculture University, Changsha, Hunan, 410128, PR China |
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| Abstract: | In Schweiger (2003) 1], Fritz Schweiger introduced the algorithm of the generalized continued fraction (GCF), and in Zhong (2008) 2], T. Zhong studied some basic metric properties of the GCF. In this paper, under the restriction of −1<ε(k)?1, the “0-1” law and the central limit theorem of quotients in the GCF expansions are studied. |
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| Keywords: | primary 41A25 secondary 11K55 |
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