Combinatorial study of colored Hurwitz polyzêtas

Jean-Yves Enjalbert (1) , Hoang Ngoc Minh (1)

1 LIPN - Laboratoire d'Informatique de Paris-Nord

A combinatorial study discloses two surjective morphisms between generalized shuffle algebras and algebras generated by the colored Hurwitz polyzêtas. The combinatorial aspects of the products and co-products involved in these algebras will be examined.

Mots clés: polyzêta functions; generalized shuffle products; Hopf algebra; Hopf algebra.

Domaines: Combinatoire [math.CO]; Mathématique discrète [cs.DM]

Jean-Yves Enjalbert, Hoang Ngoc Minh. Combinatorial study of colored Hurwitz polyzêtas. 2011. ⟨hal-00704926⟩