On the error-sum function of Pierce expansions

  • Min Woong Ahn

    SUNY at Buffalo, USA
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Abstract

We introduce the error-sum function of Pierce expansions. Some basic properties of the error-sum function are analyzed. We also examine the fractal property of the graph of it by calculating the Hausdorff dimension, the box-counting dimension, and the covering dimension of the graph.

Cite this article

Min Woong Ahn, On the error-sum function of Pierce expansions. J. Fractal Geom. 10 (2023), no. 3/4, pp. 389–421

DOI 10.4171/JFG/142