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On the Lebesgue measure of sum-level sets for Lüroth expansion
Authors:Sikui Wang
Affiliation:School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, Hubei, 430074, PR China
Abstract:In this paper the sum-level sets for Lüroth expansion are introduced. We prove that the Lebesgue measure of these sum-level sets decays to zero as the level tends to infinity.
Keywords:  roth expansion    roth map   Sum-level set
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