engleski

On the uniqueness of extension of twoparametric family of D(4)-triples

A set of m positive integers is called a D(4)-m-tuple, if the product of any two of its distinct elements increased by 4 is a perfect square. There is a conjecture that D(4)-triple {;a, b, c}; can be extended to a D(4)-quadruple {;a, b, c, d}; such that d > max{;a, b, c}; in the unique way. That was proved for D(4)-triple {;1, 5, 12}; and various parametric families of D(4)-triples. In this talk we will prove the conjecture for one twoparametric family of D(4)-triples.

Diophantine quadruples

nije evidentirano