Counting Matrices in SL3(Z) with Fixed Completely Split Character Polynomial: Preliminary Upper Bounds
Number Theory
2025-07-23 v2
Abstract
We count matrices in the special linear group SL(n, Z) whose characteristic polynomials split completely over Q.
Cite
@article{arxiv.2507.15129,
title = {Counting Matrices in SL3(Z) with Fixed Completely Split Character Polynomial: Preliminary Upper Bounds},
author = {Igor Rivin},
journal= {arXiv preprint arXiv:2507.15129},
year = {2025}
}