Ax-Schanuel for the j-function

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 relat...

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Những tác giả chính: Pila, J, Tsimerman, J
Định dạng: Journal article
Được phát hành: Duke University Press 2016