izvor podataka: crosbi
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The non-extendibility of some parametric families of D(-1)-triples (CROSBI ID 171011)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Filipin, Alan ; Fujita, Yasutsugu ; Mignotte, Maurice
The non-extendibility of some parametric families of D(-1)-triples // Quarterly journal of mathematics, 63 (2012), 3; 605-621. doi: 10.1093/qmath/har013
Podaci o odgovornosti
Filipin, Alan ; Fujita, Yasutsugu ; Mignotte, Maurice
engleski
The non-extendibility of some parametric families of D(-1)-triples
In this paper, we show that some parametric families of D(−1)-triples cannot be extended to D(−1)-quadruples. Using this result, we further show that in each case of r = p^k, r = 2p^k, r^2 + 1 = p and r^2 + 1 = 2p^k for an odd prime p and a positive integer k, the D(−1)-pair {; ; ; ; 1, r^2 + 1}; ; ; ; cannot be extended to a D(−1)-quadruple.
Diophantine tuples; system of Diophantine equations
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