# On the distribution of Salem numbers

@inproceedings{Gotze2019OnTD,
title={On the distribution of Salem numbers},
author={Friedrich Gotze and A M Gusakova},
year={2019}
}
• Published 2019
• Mathematics
• In this paper we study the problem of counting Salem numbers of fixed degree. Given a set of disjoint intervals $I_1,\ldots, I_{k}\subset \left[0;\pi\right]$, $1\leq k\leq m$ let $Sal_{m,k}(Q,I_1,\ldots,I_{k})$ denote the set of ordered $(k+1)$-tuples $\left(\alpha_0,\ldots,\alpha_{k}\right)$ of conjugate algebraic integers, such that $\alpha_0$ is a Salem numbers of degree $2m+2$ satisfying $\alpha\leq Q$ for some positive real number $Q$ and $\arg\alpha_i\in I_i$. We derive the following… CONTINUE READING

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