Strong rational Diophantine D(q)-triples
arXiv:2001.05453 · doi:10.1016/j.indag.2020.03.007
Abstract
We show that for infinitely many square-free integers q there exist infinitely many triples of rational numbers {a, b, c} such that a^2 + q, b^2 + q, c^2 + q, ab + q, ac + q and bc + q are squares of rational numbers.
8 pages