On the Lebesgue measure of sum-level sets for Lüroth expansion |
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Authors: | Sikui Wang |
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Affiliation: | School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, Hubei, 430074, PR China |
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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. |
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Keywords: | Lü roth expansion Lü roth map Sum-level set |
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