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arXiv:math/0408304 [math.NT]AbstractReferencesReviewsResources

Distances between the conjugates of an algebraic number

Jan-Hendrik Evertse

Published 2004-08-23Version 1

Given a fixed number field K, we give non-trivial lower bounds for the distance between the conjugates of any number a from K in terms of the Mahler measure M(a) of a. In the case that K is a cubic field, our bound is best possible in terms of M(a). Our proof is based on Roth's theorem.

Comments: Latex file; 18 pages
Categories: math.NT
Subjects: 11J17, 11R04
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