Comparing C and Zilber exponential fields, zero sets of exponential polynomials
Rings and Algebras
2013-10-28 v1 Number Theory
Abstract
We continue the research programme of comparing the complex exponential field with Zilber exponential. For the latter we prove, using diophantine geometry, various properties about zero sets of exponential functions, proved for C using analytic function theory, e g the Identity Theorem.
Cite
@article{arxiv.1310.6891,
title = {Comparing C and Zilber exponential fields, zero sets of exponential polynomials},
author = {Paola D Aquino and Angus Macintyre and Giuseppina Terzo},
journal= {arXiv preprint arXiv:1310.6891},
year = {2013}
}