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arXiv · 2001.05453

Strong rational Diophantine D(q)-triples

Andrej Dujella·Matteo Paganin·Mohammad Sadek
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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.

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Andrej Dujella, Matteo Paganin, Mohammad Sadek. 2020-01-15. Strong rational Diophantine D(q)-triples. https://doi.org/10.1016/j.indag.2020.03.007

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