Pré-Publication, Document De Travail Année : 2023

Hopf algebras and alternating multiple zeta values in positive characteristic

Résumé

Recently we presented a systematic study of algebra structures of multiple zeta values in positive characteristic introduced by Thakur as analogues of classical multiple zeta values of Euler. In this paper, we construct algebra and Hopf algebra structures of alternating multiple zeta values introduced by Harada, extending our previous work. Our results could be considered as an analogue of those of Hoffman and Racinet in the classical setting. The proof is based on two new ingredients: the first one is a direct and explicit construction of the shuffle Hopf algebra structure, and the second one is the notion of horizontal maps.
Fichier principal
Vignette du fichier
HopfAMZV_HAL.pdf (423.9 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04052875 , version 1 (30-03-2023)

Identifiants

Citer

Bo-Hae Im, Hojin Kim, Khac Nhuan Le, Tuan Ngo Dac, Lan Huong Pham. Hopf algebras and alternating multiple zeta values in positive characteristic. 2023. ⟨hal-04052875⟩
65 Consultations
79 Téléchargements

Altmetric

Partager

More