Continued fractions in the field of 𝑝-adic numbers

G Romeo - Bulletin of the American Mathematical Society, 2024 - ams.org
Continued fractions have a long history in number theory, especially in the area of
Diophantine approximation. The aim of this expository paper is to survey the main results on …

Continued fractions in the field of p-adic numbers

G Romeo - arXiv preprint arXiv:2306.14837, 2023 - arxiv.org
Continued fractions have a long history in number theory, especially in the area of
Diophantine approximation. The aim of this expository paper is to survey the main results on …

[HTML][HTML] 连分数中的矩阵运算

朱林, 王冰 - Pure Mathematics, 2023 - hanspub.org
本文旨在探究矩阵运算在连分数中的应用. 本文通过欧几里得算法自然地引出连分数的概念,
探究了矩阵运算在连分数中的若干应用, 利用矩阵运算技巧证明了连分数的部分性质 …

On the Maillet–Baker Ruban Continued Fractions in the-Adic Field

B Ammous - Mathematical Notes, 2023 - Springer
We establish a transcendence criterion for a class of quasi-periodic Ruban \documentclass[12pt]{minimal}
\usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} …

On the quasi-periodic Schneider continued fractions

B Ammous, N Ben Mahmoud - Research in Number Theory, 2024 - Springer
In the current research paper, we examine a family of quasi-periodic p-adic Schneider
continued fractions in Q p. We corroborate that ap-adic number, such that its Schneider …