Explicit Implicit Function Theorem for All Fields
Commutative Algebra
2016-11-18 v2
Abstract
We give an explicit implicit function theorem for formal power series that is valid for all fields, which implies in particular Lagrange inversion formula and and Flajolet-Soria coefficient extraction formula known for fields of characteristic 0.
Keywords
Cite
@article{arxiv.1611.01415,
title = {Explicit Implicit Function Theorem for All Fields},
author = {Yining Hu},
journal= {arXiv preprint arXiv:1611.01415},
year = {2016}
}