Diophantine quadruples in Z[√ -2] (CROSBI ID 156327)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Dujella, Andrej ; Soldo, Ivan
engleski
Diophantine quadruples in Z[√ -2]
In this paper, we study the existence of Diophantine quadruples with the property D(z) in the ring Z[sqrt(-2)]. We find several new polynomial formulas for Diophantine quadruples with the property D(a+b*sqrt(-2)), for integers a and b satisfying certain congruence conditions. These formulas, together with previous results on this subject by Abu Muriefah, Al-Rashed and Franusic, allow us to almost completely char- acterize elements z of Z[sqrt(-2)] for which a Diophantine quadruple with the property D(z) exists.
Diophantine quadruples ; quadratic field
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Podaci o izdanju
18 (1)
2010.
81-98
objavljeno
1224-1784
1844-0835