izvor podataka: crosbi
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On the family of D(4)-triples {; ; k − 2, k + 2, 4k^3 − 4k}; ; (CROSBI ID 188584)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Baćić, Ljubica ; Filipin, Alan
On the family of D(4)-triples {; ; k − 2, k + 2, 4k^3 − 4k}; ; // Bulletin of the Belgian Mathematical Society Simon Stevin, 20 (2013), 5; 777-787
Podaci o odgovornosti
Baćić, Ljubica ; Filipin, Alan
engleski
On the family of D(4)-triples {; ; k − 2, k + 2, 4k^3 − 4k}; ;
In this paper we prove that if k >= 3 and d are positive integers and the set {; ; k − 2, k + 2, 4k^3 −4k, d}; ; has the property that the product of any of its distinct elements increased by 4 is a perfect square, then d = 4k or d = 4k^5 − 12k^3 + 8k.
Diophantine tuples; system of Diophantine equations
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