16 citations · 18 across the 7 of their papers we have counts for
7 papers
Dirichlet convolution and enumeration of pyramid polycubes
Christophe Carré, Noemie Debroux, Matthieu Deneufchatel +4
We investigate the enumeration of two families of polycubes, namely pyramids and espaliers, in connection with the multi-indexed Dirichlet convolution
Finite Decomposition Semigroups
Matthieu Deneufchâtel, Gérard H. E. Duchamp
In this paper, we explain the importance of finite decomposition semigroups and present two theorems related to their structure.
Combinatorial Semigroup Bialgebras
Matthieu Deneufchâtel
This paper is devoted to the presentation of combinatorial bialgebras whose coproduct is defined with the help of a commutative semigroup. We consider this setting in order to give…
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…
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…
How to compute Selberg-like integrals?
Matthieu Deneufchâtel
In this paper, we describe a general method for computing Selberg-like integrals based on a formula, due to Kaneko, for Selberg-Jack integrals. The general principle consists in ex…