Mathematisches Institut, Universität Basel, Rheinsprung 21, 4051 Basel, Switzerland ; Department of Mathematics, University of Texas at Austin, 1 University Station C1200, Austin, Texas 78712
Abstract:
We count algebraic numbers of fixed degree over a fixed algebraic number field. When the heights of the algebraic numbers are bounded above by a large parameter , we obtain asymptotic estimates for their cardinality as .