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Extension of a parametric family of Diophantine triples in Gaussian integers (CROSBI ID 222796)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Bayad, Abdelmejid ; Filipin, Alan ; Togbe, Alain
Extension of a parametric family of Diophantine triples in Gaussian integers // Acta mathematica Hungarica, 148 (2016), 2; 312-327. doi: 10.1007/s10474-016-0581-6
Podaci o odgovornosti
Bayad, Abdelmejid ; Filipin, Alan ; Togbe, Alain
engleski
Extension of a parametric family of Diophantine triples in Gaussian integers
In this paper, we prove that if {; ; ; k, 4k+4, 9k+6, d}; ; ; , where k ∈ Z[i], k ̸= 0, −1, is a Diophantine quadruple in the ring of Gaussian integers, then d=144k^3+240k^2+124k+20.
Diophantine m-tuples ; simultaneous Diophantine equations
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Podaci o izdanju
148 (2)
2016.
312-327
objavljeno
0236-5294
1588-2632
10.1007/s10474-016-0581-6
Povezanost rada
Povezane osobe
Povezane ustanove