The 𝑛\tsup {th} iterate of a formal power series with linear term a primitive 𝑛\tsup {th} root of unity
We give a very short proof of the Theorem: Suppose that $ f (x)= a_1x+ a_2x^ 2+\cdots $ is a
formal power series with coefficients in an integral domain, and $ a_1 $ is a primitive …
formal power series with coefficients in an integral domain, and $ a_1 $ is a primitive …
The\mathbf {n}^{\mathrm {\mathbf {th}}} iterate of a formal power series with linear term a primitive\mathbf {n}^{\mathrm {\mathbf {th}}} root of unity.
We give a very short proof of the Theorem: Suppose that f (x)= a_1x+ a_2x^ 2+\cdots is a
formal power series with coefficients in an integral domain, and a_1 is a primitive n^{\mathrm …
formal power series with coefficients in an integral domain, and a_1 is a primitive n^{\mathrm …
The generalization of Schr\" oder's theorem (1871): The multinomial theorem for formal power series under composition
G Monkam - arXiv preprint arXiv:2103.02427, 2021 - arxiv.org
We consider formal power series $ f (x)= a_1 x+ a_2 x^ 2+\cdots $$(a_1\neq 0) $, with
coefficients in a field. We revisit the classical subject of iteration of formal power series, the n …
coefficients in a field. We revisit the classical subject of iteration of formal power series, the n …