Work

Convergence exponent of Pierce expansion digit sequences

Year: 2025

Type: article

Abstract: In this paper, we investigate the convergence exponent of Pierce expansion digit sequences. We explore some basic properties of the convergence exponent as a real-valued function defined on the closed unit interval, as well as those of the level sets of the function. Additionally, we further study subsets of the closed unit interval on which the series of positive sth powers of the reciprocals of the Pierce expansion digits diverges.

Source: International Journal of Number Theory

DOI: 10.1142/s1793042125500952

Author: Min Woong Ahn

Institutions: State University of New York, University at Buffalo, State University of New York

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4409708291

FWCI: 7.232

Cites: 11

Cited by: 2

Related to: 10