The order conjecture fails in S
Complex Variables
2020-07-13 v1
Abstract
We construct an entire function with only three singular values whose order of growth can change under a quasiconformal equivalence. This is a counterexample to the Order Conjecture in the Speiser class of entire functions.
Cite
@article{arxiv.2007.05387,
title = {The order conjecture fails in S},
author = {Christopher J. Bishop},
journal= {arXiv preprint arXiv:2007.05387},
year = {2020}
}
Comments
23 pages, 18 figures