izvor podataka: crosbi
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A family of quartic Thue inequalities (CROSBI ID 104575)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Dujella, Andrej ; Jadrijević, Borka
A family of quartic Thue inequalities // Acta Arithmetica, 111 (2004), 4; 61-76-x
Podaci o odgovornosti
Dujella, Andrej ; Jadrijević, Borka
engleski
A family of quartic Thue inequalities
In this paper we prove that the only primitive solutions of the Thue inequality | x^4 - 4c x^3y + (6c+2)x^2y^2 + 4c xy^3 + y^4 | <= 6c+4, where c >= 4 is an integer, are (x, y) = (+-1, 0), (0, +-1), (1, +-1), (-1, +-1), (+-1, -+2), (+-2, +-1).
Thue equations; Thue inequalities; simultaneous Pellian equations; continued fractions
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