engleski

On the number of D(-1)-quadruples

The D(-1)-quadruple conjecture states that these does not exist a set of four positive integers such that the product of any two distinct elements decresed by 1 is a perfect square. In joint work with Dujella and Fuchs, Filipin proved that there are only finitely many D(-1)-quadruples. In this talk we give an upper bound for the number of D(-1)-quadruples transforming the problem into a system of simultaneous Pell equations with the right-hand side equals 1.

D(-1)-quadruples

nije evidentirano