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Counting algebraic numbers with large height II
Authors:David Masser  Jeffrey D Vaaler
Institution: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 $ \mathcal{H}$, we obtain asymptotic estimates for their cardinality as $ \mathcal{H} \rightarrow \infty $.

Keywords:Mahler measure  height
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