具有不同二元递归的丢番图三元组

IF 1.4 4区数学 Q1 MATHEMATICS Carpathian Journal of Mathematics Pub Date : 2022-07-30 DOI:10.37193/cjm.2023.01.17

F. Luca, L. Szalay

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引用次数: 0

摘要

在这篇文章中，我们研究了三种不同二进制递归序列的丢番图三元组。这些是斐波那契数列和佩尔数列以及给定素数p的一个幂数列。这篇文章的新颖之处在于三个不同序列的出现，因为到目前为止，类似问题只研究了一个序列。

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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Diophantine triples with distinct binary recurrences

In this paper, we look at Diophantine triples with values in three different binary recurrence sequences. These are the Fibonacci and Pell sequences and the sequence of one more of powers of a given prime $p$. The novelty of the article is the appearance of three different sequences, as up to now the analogous problem had been investigated only for one sequence.

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来源期刊

Carpathian Journal of Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： Carpathian Journal of Mathematics publishes high quality original research papers and survey articles in all areas of pure and applied mathematics. It will also occasionally publish, as special issues, proceedings of international conferences, generally (co)-organized by the Department of Mathematics and Computer Science, North University Center at Baia Mare. There is no fee for the published papers but the journal offers an Open Access Option to interested contributors.