منابع مشابه
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In this paper, we show that there are no three distinct positive integers a, b and c such that ab + 1, ac + 1, bc + 1 all are balancing numbers.
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We construct a family of Diophantine triples {c1(t), c2(t), c3(t)} such that the elliptic curve over Q(t) induced by this triple, i.e.: y = (c1(t) x + 1)(c2(t) x + 1)(c3(t) x + 1) has torsion group isomorphic to Z/2Z× Z/2Z and rank 5. This represents an improvement of the result of A. Dujella, who showed a family of this kind with rank 4. By specialization we obtain two examples of elliptic cur...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 2020
ISSN: 0019-3577
DOI: 10.1016/j.indag.2020.03.007