Hausdorff dimension of some kind of alternating Oppenheim series expansion |
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| Authors: | Luming Shen Chao Ma Yuehua Liu |
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| Affiliation: | (1) Science College of Hunan Agriculture University, Changsha, 410028, P. R. China;(2) Department of Mathematics, Nanjing University, Nanjing, 210093, P. R. China |
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| Abstract: | For Oppenheim series epansions,the authors of[7]discussed the exceptional sets Bm={x∈(0,1]:1＜dj(x)/hj-1(dj-1(x))≤m for any j≥2}.In this paper,we investigate the Hausdorff dimension of a kind of exceptional sets occurring in alternating Oppenheim series expansion.As an application,we get the exact Hausdorff sional number. |
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| Keywords: | alternating Oppenheim series expansion alternating Lüroth series expansion Hausdorff dimension EXPANSION SERIES ALTERNATING KIND DIMENSION exact Hausdorff dimension number application kind alternating expansion paper sets series |
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