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- W2417060878 abstract "In the paper, we study the asymptotic distribution of real algebraic integers of fixed degree as their naive height tends to infinity. Let $I subset mathbb{R}$ be an arbitrary bounded interval, and $Q$ be a sufficiently large number. We obtain an asymptotic formula for the count of algebraic integers $alpha$ of fixed degree $n$ and naive height $H(alpha)le Q$ lying in $I$. In this formula, we estimate the order of the error term from above and below. We show that algebraic integers of degree $n$ are distributed asymptotically like algebraic numbers of degree $(n-1)$ as the upper bound $Q$ of heights tends to infinity." @default.
- W2417060878 created "2016-06-24" @default.
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- W2417060878 date "2014-07-10" @default.
- W2417060878 modified "2023-09-27" @default.
- W2417060878 title "Distribution of real algebraic integers" @default.
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