A Schanuel Property for $j$
Logic
2018-02-07 v2 Number Theory
Abstract
I give a model-theoretic setting for the modular function and its derivatives. These structures, here called -fields, provide an adequate setting for interpreting the Ax-Schanuel theorem for (Pila-Tsimerman 2015). Following the ideas of M. Bays, J. Kirby and A.J. Wilkie for exponential fields, I prove a generic transcendence property for the function.
Cite
@article{arxiv.1701.05841,
title = {A Schanuel Property for $j$},
author = {Sebastian Eterović},
journal= {arXiv preprint arXiv:1701.05841},
year = {2018}
}
Comments
18 pages