Periodicity of p-adic expansion of rational number
Abstract
In this paper we give an algorithm to calculate the coefficients of the p-adic expansion of a rational numbers, and we give a method to decide whether this expansion is periodic or ultimately periodic.
Copyright © 2021 Rafik Belhadef, Henri-Alex Esbelin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
R. Belhadef, H.-A. Esbelin, Periodicity of p-adic expansion of rational number, J. Math. Comput. Sci. 11 (2021), 1704–1713. https://doi.org/10.28919/jmcs/5384
BibTeX
@article{Belhadef2021,
author = {Belhadef, Rafik and Esbelin, Henri-Alex},
title = {Periodicity of p-adic expansion of rational number},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {1704--1713},
doi = {10.28919/jmcs/5384}
}