%0 Journal Article
%T Ax-Schanuel for the j-function
%A Jonathan Pila
%A Jacob Tsimerman
%J Mathematics
%D 2014
%I arXiv
%X In this paper we prove a functional transcendence statement for the j-function which is an analogue of the Ax-Schanuel theorem for the exponential function. It asserts, roughly, that atypical algebraic relations among functions and their compositions with the j-function are governed by modular relations.
%U http://arxiv.org/abs/1412.8255v2