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Fibonacci numbers and sets with the property D(4) (CROSBI ID 108503)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Dujella, Andrej ; Ramasamy, A.M.S.
Fibonacci numbers and sets with the property D(4) // Bulletin of the Belgian Mathematical Society Simon Stevin, 12 (2005), 3; 401-412-x
Podaci o odgovornosti
Dujella, Andrej ; Ramasamy, A.M.S.
engleski
Fibonacci numbers and sets with the property D(4)
It is proved that if k and d are positive integers such that the product of any two distinct elements of the set {; ; F_{; ; 2k}; ; , 5F_{; ; 2k}; ; , 4F_{; ; 2k+2}; ; , d}; ; increased by 4 is a perfect square, than d = 4L_{; ; 2k}; ; F_{; ; 4k+2}; ; . This is a generalization of the results of Kedlaya, Mohanty and Ramasamy for k=1.
Diophantine m-tuple; Fibonacci numbers; simultaneous Pellian equations
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Podaci o izdanju
12 (3)
2005.
401-412-x
objavljeno
1370-1444
Povezanost rada
Povezane osobe