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math.CO2011★ 1 cited
Radford bases and Schützenberger's Factorizations
Matthieu Deneufchâtel, Gérard H. E. Duchamp, Vincel Hoang Ngoc Minh
In this paper, we present Schützenberger's factorization in different combinatorial contexts and show that its validity is not restricted to these cases but can be extended to ever…
math.CO2011
Independence of hyperlogarithms over function fields via algebraic combinatorics
Matthieu Deneufchâtel, Gérard Henry Edmond Duchamp, Vincel Hoang Ngoc Minh +1
We obtain a necessary and sufficient condition for the linear independence of solutions of differential equations for hyperlogarithms. The key fact is that the multiplier (i.e. the…