Strong rational Diophantine D(q)-triples
Number Theory
2020-08-12 v1
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.
Cite
@article{arxiv.2001.05453,
title = {Strong rational Diophantine D(q)-triples},
author = {Andrej Dujella and Matteo Paganin and Mohammad Sadek},
journal= {arXiv preprint arXiv:2001.05453},
year = {2020}
}
Comments
8 pages