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On the error-sum function of Lüroth series. (English) Zbl 1154.11331
Summary: 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.

MSC:
11K55 Metric theory of other algorithms and expansions; measure and Hausdorff dimension
11J83 Metric theory
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