Counting Perron Numbers by Absolute Value
Number Theory
2015-02-03 v2
Abstract
We count various classes of algebraic integers of fixed degree by their largest absolute value. The classes of integers considered include all algebraic integers, Perron numbers, totally real integers, and totally complex integers. We give qualitative and quantitative results concerning the distribution of Perron numbers, answering in part a question of W. Thurston.
Keywords
Cite
@article{arxiv.1412.3398,
title = {Counting Perron Numbers by Absolute Value},
author = {Frank Calegari and Zili Huang},
journal= {arXiv preprint arXiv:1412.3398},
year = {2015}
}
Comments
This work represents, in part, the PhD thesis of the second author