Let n be an integer. A set of positive integers {al9 -..,am} is said to have the property of Diophantus of order n, symbolically D(n) if, for all i,j-\...ym, i^j, the following holds: apj +n = b?, where btj is an integer. The set {a1,...,am} is called aDiophantine m-tuple. In this paper we construct several Diophantine quadruples whose elements are represented using generalized Fibonacci number...

Bolyai Military University, Budapest, e-mail: [email protected] Two classes of Gamma Ray Bursts have been identified so far, characterized by T90 durations shorter and longer than approximately 2 seconds. It was shown that the BATSE 3B data allow a good fit with three Gaussian distributions in logT90 [4]. In the same Volume in ApJ. another paper suggested that the third class of GRBs is may exist [1...