Polynomial D(4)-quadruples over Gaussian integers
| Autor: | Bujačić Babić, Sanda, Bliznac Trebješanin, Marija |
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| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: | |
| Popis: | A set {; ; a, b, c, d}; ; of four distinct nonzero polynomials in Z[i][X] is called a polynomial Diophantine D(4)-quadruple if the product of any two of its distinct elements increased by 4 is a square of a polynomial in Z[i] [X]. In this paper we prove that every polynomial D(4)- quadruple in Z[i][X] is regular, or in other words that the equation (a+b−c−d)^2=(ab+4)(cd+4) holds for every polynomial {; ; a, b, c, d}; ; D(4)-quadruple in Z[i][X]. |
| Databáze: | OpenAIRE |
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