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Strong rational diophantine D(q)-triples

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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)

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Official URL: http://dx.doi.org/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 be q are squares of rational numbers.

Item Type:Article
Uncontrolled Keywords:Strong Diophantine triples; Elliptic curves; Twists
Subjects:Q Science > QA Mathematics > QA150-272.5 Algebra
ID Code:40248
Deposited By:Mohammad Sadek
Deposited On:06 Sep 2020 09:13
Last Modified:06 Sep 2020 09:13

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