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Counting algebraic integers of fixed degree and bounded height (1305.0482v3)

Published 2 May 2013 in math.NT

Abstract: Let $k$ be a number field. For $\mathcal{H}\rightarrow \infty$, we give an asymptotic formula for the number of algebraic integers of absolute Weil height bounded by $\mathcal{H}$ and fixed degree over $k$.

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