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On the extensibility of the D(4)-triple {; ; k-2, k+2, 4k}; ; over Gaussian integers (CROSBI ID 231231)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Bayad, Abdelmejid ; Dossavi-Yovo, Appolinaire ; Filipin, Alan ; Togbe, Alain
On the extensibility of the D(4)-triple {; ; k-2, k+2, 4k}; ; over Gaussian integers // Notes on number theory and discrete mathematics, 23 (2017), 3; 1-26
Podaci o odgovornosti
Bayad, Abdelmejid ; Dossavi-Yovo, Appolinaire ; Filipin, Alan ; Togbe, Alain
engleski
On the extensibility of the D(4)-triple {; ; k-2, k+2, 4k}; ; over Gaussian integers
In this paper, we prove that if {; ; k-2, k+2, 4k, d}; ; , where k is from Z[i] and k is not from {; ; -2, 0, 2}; ; , is a D(4)-quadruple in the ring of Gaussian integers, then d=4k^3-4k.
Diophantine m -tuples ; Pell equations ; Linear forms in logarithms
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Podaci o izdanju
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Matematika
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