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Solutions of a class of quartic Thue inequalities (CROSBI ID 145989)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
He, Bo ; Jadrijević, Borka ; Togbe, Alain
Solutions of a class of quartic Thue inequalities // Glasnik matematički, 44 (2009), 2; 309-321. doi: 10.3336/gm.44.2.04
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He, Bo ; Jadrijević, Borka ; Togbe, Alain
engleski
Solutions of a class of quartic Thue inequalities
Let c be a positive integer. In this paper, we use the method of Tzanakis to transform the quartic Thue inequality |x4 - 4x^3y - (2c- 2)x^2y^2 + (4c+4)xy^3 - (2c- 1)- y^4| <= max{; ; ; c/4, 4}; ; ; into systems of Pellian equations. Then we find all primitive solutions of this inequality using continued fractions.
Thue inequalities; method of Tzanakis; continued fractions
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