On the error-sum function of Pierce expansions
Min Woong Ahn
2023Journal of Fractal Geometry Mathematics of Fractals and Related Topics11 citationsDOIOpen Access PDF
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.
Topics & Concepts
Hausdorff dimensionMathematicsMinkowski–Bouligand dimensionDimension (graph theory)Effective dimensionGraphPacking dimensionError functionFunction (biology)Dimension functionFractal dimensionCombinatoricsDiscrete mathematicsFractalMathematical analysisAlgorithmEvolutionary biologyBiologyComputability, Logic, AI AlgorithmsMathematical Dynamics and Fractalssemigroups and automata theory