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Let M = Q( √ −D) be an imaginary quadratic field with ring of integers ZM and let ξ be a root of the polynomial f(x) = x − 2cx + 2x + 2cx + 1, where c ∈ ZM \ {0,±2} and c 6= ±1 if D = 1 or 3. We… (More)

The families of simplest cubic, simplest quartic and simplest sextic fields and the related Thue equations are well known. The family of simplest cubic Thue equations was already studied in the… (More)

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… (More)

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