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math.LO2025
Ordered groups of formal series, and a conjugacy problem
Vincent Bagayoko
Given an ordered field of formal series over an ordered field equipped with a composition law $\circ \colon \mathbb{T} \times \mathbb{T}^{>\mathbb{R}} \lo…
math.LO2025
Taylor expansions over generalised power series
Vincent Bagayoko, Vincenzo Mantova
We study the existence of formal Taylor expansions for functions defined on fields of generalised series. We prove a general result for the existence and convergence of those expan…