On the Distribution of Denominators in Sylvester Expansions |
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| Authors: | Wu Jun |
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| Institution: | Department of Mathematics and Center of Non-linear Science, Wuhan University 430072, Wuhan, People's Republic of China; wujunyu{at}public.wh.hb.cn |
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| Abstract: | For any x  (0, 1], let the series  be the Sylvester expansion of x. Galambos has shown that theLebesgue measure of the set formula] is 1 when  = e, the base of the natural logarithm. This paperprovides a proof that for any  1, A() has Hausdorff dimension1 when  e. 2000 Mathematics Subject Classification 11K55 (primary),28A80 (secondary). |
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