Abstract

Let θ be an algebraic integer over ℚ with minimum polynomial p(x) ∈ Z[x] of order n. Let θ = θ1,…, θn be the conjugates of θ. Assume that |θi| > 1 holds for i = 1,…, n. For an element a = α(θ) ∈ ℚ(θ) the conjugate with respect to θj will be denoted by α(θj). We shall use the notation p j = 1/θj (j = 1,…, n).

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