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

nije evidentirano