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Rational Diophantine sextuples with mixed signs (CROSBI ID 147013)
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Dujella, Andrej
Rational Diophantine sextuples with mixed signs // Proceedings of the Japan Academy. Series A Mathematical sciences, 85 (2009), 4; 27-30. doi: 10.3792/pjaa.85.27
Podaci o odgovornosti
Dujella, Andrej
engleski
Rational Diophantine sextuples with mixed signs
A rational Diophantine m-tuple is a set of m nonzero rationals such that the product of any two of them is one less than a perfect square. Recently Gibbs constructed several examples of rational Diophantine sextuples with positive elements. In this note, we construct examples of rational Diophantine sextuples with mixed signs. Indeed, we show that such examples exist for all possible combinations of signs.
Diophantine sextuples; elliptic curves
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Podaci o izdanju
85 (4)
2009.
27-30
objavljeno
0386-2194
10.3792/pjaa.85.27
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