Zagier-Hoffman's conjectures in positive characteristic - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2022

Zagier-Hoffman's conjectures in positive characteristic

Résumé

Multiples zeta values and alternating multiple zeta values in positive characteristic were introduced by Thakur and Harada as analogues of classical multiple zeta values of Euler and Euler sums. In this paper we determine all linear relations among alternating multiple zeta values and settle the main goals of these theories. As a consequence we completely establish Zagier-Hoffman's conjectures in positive characteristic formulated by Todd and Thakur which predict the dimension and an explicit basis of the span of multiple zeta values of Thakur of fixed weight.
Fichier principal
Vignette du fichier
AMZV_ZagierHoffman.pdf (498.78 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03667755 , version 1 (13-05-2022)

Identifiants

Citer

Bo-Hae Im, Hojin Kim, Khac Nhuan Le, Tuan Ngo Dac, Lan Huong Pham. Zagier-Hoffman's conjectures in positive characteristic. 2022. ⟨hal-03667755⟩
331 Consultations
95 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More