15 citations · 74 across the 12 of their papers we have counts for
7 papers · 1 filter
About the algebraic closure of formal power series in several variables
Michel Hickel, Mickaël Matusinski
Let be a field of characteristic zero. We deal with the algebraic closure of the field of fractions of the ring of formal power series , . More pr…
About algebraic Puiseux series in several variables
Michel Hickel, Mickaël Matusinski
We deal with the algebraicity of an iterated Puiseux series in several variables in terms of the properties of its coefficients. Our aim is to generalize to several variables the r…
On the algebraicity of Puiseux series
Michel Hickel, Mickaël Matusinski
We deal with the algebraicity of a Puiseux series in terms of the properties of its coefficients. We show that the algebraicity of a Puiseux series for given bounded degree is dete…
On generalized series fields and exponential-logarithmic series fields with derivations
Mickaël Matusinski
We survey some important properties of fields of generalized series and of exponential-logarithmic series, with particular emphasis on their possible differential structure, based…
The exponential-logarithmic equivalence classes of surreal numbers
Salma Kuhlmann, Mickaël Matusinski
In his monograph, H. Gonshor showed that Conway's real closed field of surreal numbers carries an exponential and logarithmic map. Subsequently, L. van den Dries and P. Ehrlich sho…
Hardy type derivations on fields of exponential logarithmic series
Salma Kuhlmann, Mickael Matusinski
We consider the valued field $\mathds{K}:=\mathbb{R}((Γ))$ of formal series (with real coefficients and monomials in a totally ordered multiplicative group ). We investigate ho…
Hardy type derivations on generalized series fields
Salma Kuhlmann, Mickael Matusinski
We consider the valued field $\mathds{K}:=\mathbb{R}((Γ))$ of generalized series (with real coefficients and monomials in a totally ordered multiplicative group ). We investigat…