Explicit continued fraction expansion of a rational root of over

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematika Pub Date : 2024-07-29 DOI:10.1112/mtk.12271

Yann Bugeaud, Guo-Niu Han

引用次数: 0

Abstract

Let be a prime number, and positive integers coprime with . We provide the explicit continued fraction expansion of the th root of in the power series field . We determine its irrationality exponent.

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有理根的显式续分数展开式

设为质数，且为与 .同素的正整数。我们提供了在幂级数域中.的th 根的显式续分展开。我们确定了它的无理指数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematika MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematika publishes both pure and applied mathematical articles and has done so continuously since its founding by Harold Davenport in the 1950s. The traditional emphasis has been towards the purer side of mathematics but applied mathematics and articles addressing both aspects are equally welcome. The journal is published by the London Mathematical Society, on behalf of its owner University College London, and will continue to publish research papers of the highest mathematical quality.