Resumen de Diophantine quadruples with the properties D(n1) and D(n2)

Andrej Dujella, Vinko Petričević

• For a nonzero integer n, a set of m distinct nonzero integers {a1, a2,..., am} such that aia j +n is a perfect square for all 1 ≤ i < j ≤ m, is called a D(n)-m-tuple. In this paper, we show that there are infinitely many essentially different quadruples which are simultaneously D(n1)-quadruples and D(n2)-quadruples with n1 = n2.