The digit principle and derivatives of certain $L$-series

Goss, David; Anglès, Bruno; Ngo Dac, Tuan; Pellarin, Federico; Tavares Ribeiro, Floric

Publications mathématiques de Besançon. Algèbre et théorie des nombres, no. 1 (2019), pp. 81-102.

Dans cet article nous discutons d’un principe des chiffres (« digit principle » ) en base $q$ pour les dérivées de certaines valeurs zêta dans les algèbres de Tate en caractéristique non nulle.

We discuss a digit principle for derivatives of certain $\zeta$-values in Tate algebras of positive characteristic discovered by David Goss.

Classification : 11M38, 11G09
Mots clés : $L$-values in positive characteristic, log-algebraic theorem, Drinfeld modules

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