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

@inproceedings{EVERTSE2008DistancesBT,
title={Distances between the Conjugates of an Algebraic Number in Memory of Professor B{\'e}la Brindza},
author={J.-H. EVERTSE},
year={2008}
}

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