Explicit Implicit Function Theorem for All Fields

Yining Hu

Explicit Implicit Function Theorem for All Fields

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arxiv 1611.01415 v2 pith:R65O522V submitted 2016-10-30 math.AC

Yining Hu This is my paper · ORCID

classification math.AC

keywords fieldsexplicitformulafunctionimplicittheoremcharacteristiccoefficient

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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
cs.CC 2025-06 accept novelty 7.0 of 10

Factors of polynomials computed by small constant-depth circuits or formulas are themselves computable by small constant-depth circuits or formulas in characteristic zero and large positive characteristic.

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