There are infinitely many rational Diophantine sextuples (CROSBI ID 632625)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa
Podaci o odgovornosti
Dujella, Andrej ; Kazalicki, Matija ; Mikić, Miljen ; Szikszai, Marton
engleski
There are infinitely many rational Diophantine sextuples
A rational Diophantine m-tuple is a set of m nonzero rationals such that the product of any two of them increased by 1 is a perfect square. The first rational Diophantine quadruple was found by Diophantus, while Euler proved that there are infinitely many rational Diophantine quintuples. In 1999, Gibbs found the first example of a rational Diophantine sextuple. In this talk, we describe construction of infinitely many rational Diophantine sextuples. This is joint work with Matija Kazalicki, Miljen Mikić and Márton Szikszai.
rational Diophantine sextuples ; elliptic curves
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Podaci o prilogu
14-14.
2016.
objavljeno
Podaci o matičnoj publikaciji
Computational Aspects of Diophantine Equations
Salzburg: University of Salzburg
Podaci o skupu
Computational Aspects of Diophantine Equations
pozvano predavanje
15.02.2016-19.02.2016
Salzburg, Austrija