On the complexity of p-adic continued fractions of rational number

In this paper, we study the complexity of p-adic continued fractions of a rational number, which is the p-adic analogue of the theorem of Lame. We calculate the length of Browkin expansion, and the length of Schneider expansion. Also, some numerical examples have been given.

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Bibliographic Details
Published in:arXiv.org 2024-05
Main Authors: Belhadef, Rafik, Henri-Alex Esbelin
Format: Article
Language:English
Subjects:
Complexity
Online Access:Get full text
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Description
Summary:In this paper, we study the complexity of p-adic continued fractions of a rational number, which is the p-adic analogue of the theorem of Lame. We calculate the length of Browkin expansion, and the length of Schneider expansion. Also, some numerical examples have been given.
ISSN:2331-8422
DOI:10.48550/arxiv.2405.14500