Explicit Implicit Function Theorem for All Fields

2016/10/30 by Yining Hu, Hu, Yining · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Nonlinear Waves and Solitons #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.1611.01415

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.

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• Closure under factorization from a result of Furstenberg

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