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On the error-sum function of Lüroth series |
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| Authors: | Lu-Ming Shen |
| Institution: | a Science College, Hunan Agriculture University, Changsha, Hunan 410128, PR China b Department of Mathematics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, PR China |
| Abstract: | We introduce the error-sum function of Lüroth series. Some elementary properties of this function are studied. We also determine the Hausdorff dimension of the graph of this function. |
| Keywords: | Lü roth series Error-sum function Hausdorff dimension |
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