Common Terms of k-Pell and Tribonacci Numbers

IF 17.7 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-01-31 DOI:10.29020/nybg.ejpam.v17i1.4989

Hunar Taher, Saroj Kumar Dash

引用次数: 0

Abstract

Let Tm be a Tribonacci sequence, and let the k-Pell sequence be a generalization of the Pell sequence for k ≥ 2 . The first k terms are 0, 0, ..., 0, 1, and each term after the forewords is defined by linear recurrence P (k) n = 2P (k) n−1 + P (k) n−2 + ... + P (k) n−k . We study the solution of the Diophantine equation P (k) n = Tm for the positive integer (n, k, m) with k ≥ 2. We use the lower bound for linear forms in logarithms of algebraic numbers with the theory of the continued fraction.

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k-Pell 和 Tribonacci 数的常用术语

设 Tm 为 Tribonacci 数列，k-Pell 数列是 k ≥ 2 时 Pell 数列的一般化。前 k 项分别为 0，0，...，0，1，而前项之后的每项都由线性递归 P (k) n = 2P (k) n-1 + P (k) n-2 + ... 定义。+ P (k) n-k 。我们研究 k ≥ 2 的正整数 (n, k, m) 的二叉方程 P (k) n = Tm 的解。我们利用代数数对数线性形式的下界与续分数理论。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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