Strong rational diophantine D(q)-triples
Dujella, Andrej and Paganin, Matteo and Sadek, Mohammad (2020) Strong rational diophantine D(q)-triples. Indagationes Mathematicae, 31 (3). pp. 505-511. ISSN 0019-3577 (Print) 1872-6100 (Online)
Official URL: http://dx.doi.org/10.1016/j.indag.2020.03.007 AbstractWe 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 be q are squares of rational numbers.
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