15 citations · 74 across the 12 of their papers we have counts for
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math.AC2012★ 3 cited
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…
math.LO2012★ 2 cited
A Note on Schanuel's Conjectures for Exponential Logarithmic Power Series Fields
Salma Kuhlmann, Mickael Matusinski, Ahuva C. Shkop
In [1], J. Ax proved a transcendency theorem for certain differential fields of characteristic zero: the differential counterpart of the still open Schanuel's conjecture about the…
math.AC2012★ 15 cited
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…