On nonexistence of<i>D</i>(<i>n</i>)-quadruples

Abstract 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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Publication Details

Journal
Mathematica Slovaca
Published
2024-08-01
DOI
https://doi.org/10.1515/ms-2024-0063
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

On nonexistence ofD(n)-quadruples

Ana Jurasić, Zrinka Franušić
Mathematica Slovaca
Advanced Mathematical Theories and Applications
article

On nonexistence ofD(n)-quadruples

Ana Jurasić, Zrinka Franušić
article en

Abstract

Abstract 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 ].

Mathematica SlovacaVol. 74(4)
University of Rijeka (HR), University of Zagreb (HR)
Openalex Percentile: Top 87%
Advanced Mathematical Theories and Applications
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On nonexistence of<i>D</i>(<i>n</i>)-quadruples — Ana Jurasić, Zrinka Franušić · Mathematica Slovaca (2024) | TGRS Research Map | TGRS