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On two-parametric family of quartic Thue equations

Borka Jadrijević — 2005

Journal de Théorie des Nombres de Bordeaux

We show that for all integers $m$ and $n$ there are no non-trivial solutions of Thue equation $x^{4} - 2 m n x^{3} y + 2 (m^{2} - n^{2} + 1) x^{2} y^{2} + 2 m n x y^{3} + y^{4} = 1,$ satisfying the additional condition $gcd (x y, m n) = 1$ .

A parametric family of quartic Thue equations

Andrej Dujella; Borka Jadrijević — 2002

Acta Arithmetica

A family of quartic Thue inequalities

Andrej Dujella; Borka Jadrijević — 2004

Acta Arithmetica

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