关于 D(n)-四元组的不存在性

IF 0.9 3区数学 Q2 MATHEMATICS

Mathematica Slovaca Pub Date : 2024-08-14 DOI:10.1515/ms-2024-0063

Zrinka Franušić, Ana Jurasić

引用次数: 0

摘要

本文证明，对于某些多项式 n∈ ℤ[X]，在ℤ[X]中没有多项式 D(n)-quadruple 不可表示为 ℤ[X]中两个多项式的平方差。

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 nonexistence of D(n)-quadruples

In this paper, we show that there is no polynomial D(n)-quadruple in ℤ[X] for some polynomials n ∈ ℤ[X] that are not representable as a difference of squares of two polynomials in ℤ[X].

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来源期刊

Mathematica Slovaca 数学-数学

CiteScore

2.10

自引率

6.20%

发文量

审稿时长

6-12 weeks

期刊介绍： Mathematica Slovaca, the oldest and best mathematical journal in Slovakia, was founded in 1951 at the Mathematical Institute of the Slovak Academy of Science, Bratislava. It covers practically all mathematical areas. As a respectful international mathematical journal, it publishes only highly nontrivial original articles with complete proofs by assuring a high quality reviewing process. Its reputation was approved by many outstanding mathematicians who already contributed to Math. Slovaca. It makes bridges among mathematics, physics, soft computing, cryptography, biology, economy, measuring, etc.　 The Journal publishes original articles with complete proofs. Besides short notes the journal publishes also surveys as well as some issues are focusing on a theme of current interest.