关于\(D(-3)\) -四倍倍数的存在性 \(\mathbb{Z}\)

IF 0.5 4区数学 Q3 MATHEMATICS

Glasnik Matematicki Pub Date : 2022-12-30 DOI:10.3336/gm.57.2.03

A. Filipin, Ana Jurasic

引用次数: 0

摘要

本文证明了不存在一个由四个非零多项式组成的集合 \(\mathbb{Z}[X]\)，不全是常数，使得任意两个不同元素的乘积减去 \(3\) 多项式的平方是从哪里来的 \(\mathbb{Z}[X]\)．

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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On the existence of \(D(-3)\)-quadruples over \(\mathbb{Z}\)

In this paper we prove that there does not exist a set of four non-zero polynomials from \(\mathbb{Z}[X]\), not all constant, such that the product of any two of its distinct elements decreased by \(3\) is a square of a polynomial from \(\mathbb{Z}[X]\).

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来源期刊

Glasnik Matematicki MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Glasnik Matematicki publishes original research papers from all fields of pure and applied mathematics. The journal is published semiannually, in June and in December.