ON NONEXISTENCE OF D(n)-QUADRUPLES

被引：0
|
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
收藏
页码：835 / 844
页数：10
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