52 citations · 59 across the 7 of their papers we have counts for
10 papers
Sur une série en arbres à deux paramètres
Frédéric Chapoton
One defines a new tree-indexed series, with coefficients that are polynomials in x over the ring Q(q). Several special evaluations of this series are obtained, in particular when x…
Sur une opérade ternaire liée aux treillis de Tamari
Frédéric Chapoton
We introduce an anticyclic operad V given by a ternary generator and a quadratic relation. We show that it admits a natural basis indexed by planar binary trees. We then relate thi…
Fractions de Bernoulli-Carlitz et opérateurs q-Zeta
Frédéric Chapoton
We introduce a q-deformation of Dirichlet series : for each s, an operator acting on formal power series in q without constant term. We relate Bernoulli-Carlitz numbers to the q-Ri…
Une opérade anticyclique sur les arbustes
Frédéric Chapoton
We define new combinatorial objects, called shrubs, such that forests of rooted trees are shrubs. We then introduce a structure of operad on shrubs. We show that this operad is con…
Le module dendriforme sur le groupe cyclique
Frédéric Chapoton
The structure of anticyclic operad on the Dendriform operad defines in particular a matrix of finite order acting on the vector space spanned by planar binary trees. We compute its…
Sur le nombre d'intervalles dans les treillis de Tamari
Frédéric Chapoton
We enumerate the intervals in the Tamari lattices. For this, we introduce an inductive description of the intervals. Then a notion of "new interval" is defined and these are also e…