On the error-sum function of Pierce expansions
Classical Analysis and ODEs
2024-02-06 v3 Number Theory
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
@article{arxiv.2302.14280,
title = {On the error-sum function of Pierce expansions},
author = {Min Woong Ahn},
journal= {arXiv preprint arXiv:2302.14280},
year = {2024}
}
Comments
31 pages; typos corrected