On the arithmetic and the geometry of skew-reciprocal polynomials
Number Theory
2020-03-27 v2 Geometric Topology
Abstract
We reformulate Lehmer's question from 1933 and a question due to Schinzel and Zassenhaus from 1965 in terms of a comparison of the Mahler measures and the houses, respectively, of monic integer reciprocal and skew-reciprocal polynomials of the same degree. This entails that understanding the difference between orientation-preserving and orientation-reversing mapping classes is at least as complicated as answering these questions.
Keywords
Cite
@article{arxiv.1812.04918,
title = {On the arithmetic and the geometry of skew-reciprocal polynomials},
author = {Livio Liechti},
journal= {arXiv preprint arXiv:1812.04918},
year = {2020}
}
Comments
9 pages, 0 figures