Diophantine approximation by rational numbers of certain parity types

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematika Pub Date : 2024-10-10 DOI:10.1112/mtk.12285

Dong Han Kim, Seul Bee Lee, Lingmin Liao

引用次数: 0

Abstract

For a given irrational number, we consider the properties of best rational approximations of given parities. There are three different kinds of rational numbers according to the parity of the numerator and denominator, say odd/odd, even/odd, and odd/even rational numbers. We study algorithms to find best approximations by rational numbers of given parities and compare these algorithms with continued fraction expansions.

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用某些奇偶类型的有理数进行二叉逼近

对于给定的无理数，我们要考虑给定奇偶性的最佳有理近似数的性质。根据分子和分母的奇偶性，有三种不同的有理数，即奇/偶有理数、偶/偶有理数和奇/偶有理数。我们研究用给定奇偶性的有理数求最佳近似值的算法，并将这些算法与续分数展开法进行比较。

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.