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Diophantine quadruples in Z[√ (4k+3)] (CROSBI ID 131619)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Franušić, Zrinka
Diophantine quadruples in Z[√ (4k+3)] // Ramanujan journal, 17 (2008), 1; 77-88. doi: 10.1007/s11139-007-9015-y
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Franušić, Zrinka
engleski
Diophantine quadruples in Z[√ (4k+3)]
It this paper, we study the existence of Diofantine quadruples with property D(z) in the ring Z[√ d], where d is such that the Pellian equation x^2 − dy^2 = ± ; 2 is solvable. This existence is characterized by the representability of z as a difference of two squares.
Quadratic fields; Diophantine quadruples
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