engleski

Totally real Thue inequalities over imaginary quadratic fields

Let F(x, y) be an irreducible binary form of degree ≥ 3 with integer coefficients and with real roots. Let M be an imaginary quadratic field, with ring of integers Z_M. Let K > 0. We describe an efficient method how to reduce the resolution of the relative Thue inequalities |F(x, y)|≤ K (x, y ∈Z¬_M) to the resolution of absolute Thue inequalities of type |F(x, y)|≤ k (x, y ∈Z). We illustrate our method with an explicit example.

relative Thue equations ; Thue inequalities

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