Distances between the Conjugates of an Algebraic Number in Memory of Professor Béla Brindza

  title={Distances between the Conjugates of an Algebraic Number in Memory of Professor B{\'e}la Brindza},
  author={J.-H. EVERTSE},
  • Published 2008
{i,j}⊂Σ |α (i) − α| > C · M(α) holds for all α with K = Q(α), with C = 2 and κ = r − 1. In the present paper we deduce inequalities (*) with κ < r − 1 and with a constant C depending on K which are valid for all α with Q(α) = K. We obtain such inequalities with an ineffective constant C, using arguments and results from [6], [7], and with an effective constant C using a result from [8]. Define κ(Σ) to be the infimum of all real numbers κ for which there exists a constant C > 0 such that… CONTINUE READING

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