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 |
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Uncontrolled Keywords: | Strong Diophantine triples; Elliptic curves; Twists |
Subjects: | Q Science > QA Mathematics > QA150-272.5 Algebra |
Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |
Depositing User: | Mohammad Sadek |
Date Deposited: | 06 Sep 2020 09:13 |
Last Modified: | 30 Jul 2023 13:15 |
URI: | https://research.sabanciuniv.edu/id/eprint/40248 |