More on Diophantine sextuples (CROSBI ID 56812)
Prilog u knjizi | izvorni znanstveni rad
Podaci o odgovornosti
Dujella, Andrej ; Kazalicki, Matija
engleski
More on 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, and Dujella, Kazalicki, Mikić and Szikszai recently proved that there exist infinitely many rational Diophantine sextuples. In this paper, generalizing the work of Piezas, we describe a method for generating new parametric formulas for rational Diophantine sextuples.
Diophantine sextuples ; elliptic curves
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Podaci o prilogu
227-235.
objavljeno
10.1007/978-3-319-55357-3_11
Podaci o knjizi
Number Theory - Diophantine problems, uniform distribution and applications, Festschrift in honour of Robert F. Tichy's 60th birthday
Elsholtz, C. ; Grabner, P.
Berlin: Springer
2017.
978-3-319-55356-6
