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arxiv: 1305.0482 · v3 · pith:P3GJWG6Jnew · submitted 2013-05-02 · 🧮 math.NT

Counting algebraic integers of fixed degree and bounded height

classification 🧮 math.NT
keywords algebraicboundeddegreefixedheightintegersmathcalnumber
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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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