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On the relative growth rate of the product of consecutive partial quotients in continued fraction expansions of Laurent series
Institution:1. School of Mathematics and Statistics, Southwest University, Chongqing 400715, China;2. Department of Basic Courses, Naval University of Engineering, Wuhan 430033, China;1. Institute of Applied Mathematics, College of Science, Huazhong Agricultural University, 430070, Wuhan, PR China;2. School of Mathematics and Statistics, Huazhong University of Science and Technology, 430074, Wuhan, PR China;1. Department of Mathematics, University of Auckland, 38 Princes Street, Auckland Central, Auckland 1010, New Zealand;2. School of Mathematics and Statistics, University of Canterbury, Private bag 4800, 8140 Christchurch, New Zealand
Abstract:
Keywords:Formal Laurent series  Continued fraction  Haar measure  Hausdorff dimension
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