Local interdefinability of Weierstrass elliptic functions
Logic
2019-02-20 v1
Abstract
We explain which Weierstrass elliptic functions are locally definable from other elliptic functions and exponentiation in the context of o-minimal structures. The proofs make use of the predimension method from model theory to exploit functional transcendence theorems in a systematic way.
Keywords
Cite
@article{arxiv.1402.3963,
title = {Local interdefinability of Weierstrass elliptic functions},
author = {Gareth Jones and Jonathan Kirby and Tamara Servi},
journal= {arXiv preprint arXiv:1402.3963},
year = {2019}
}