Counting algebraic numbers with large height II

Masser, David; Vaaler, Jeffrey

doi:10.1090/S0002-9947-06-04115-8

Counting algebraic numbers with large height II
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by David Masser and Jeffrey D. Vaaler PDF

Trans. Amer. Math. Soc. 359 (2007), 427-445 Request permission

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 $\mathcal {H} \rightarrow \infty$.

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