ON NONEXISTENCE OF D(n)-QUADRUPLES

被引：1

作者：

Franusic, Zrinka ^{[1
]}

Jurasic, Ana ^{[2
]}

机构：

[1] Univ Zagreb, Dept Math, Fac Sci, Bijenicka Cesta 30, Zagreb 10000, Croatia

[2] Univ Rijeka, Fac Math, Radmile Matejcic 2, Rijeka 51000, Croatia

来源：

MATHEMATICA SLOVACA | 2024年 / 74卷 / 04期

关键词：

D(n)-quadruples; difference of two squares; ring of polynomials; diophantine equations; DIOPHANTINE M-TUPLES; INTEGERS; RING;

D O I：

10.1515/ms-2024-0063

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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

引用

页码：835 / 844

页数：10

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