The digit principle and derivatives of certain L-series

David Goss , Bruno Anglès (1) , Tuan Ngo Dac (2, 1) , Federico Pellarin (3) , Floric Tavares-Ribeiro (1)

1 LMNO - Laboratoire de Mathématiques Nicolas Oresme
2 CNRS - Centre National de la Recherche Scientifique
3 ICJ - Institut Camille Jordan

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

Domaines: Mathématiques [math]; Théorie des nombres [math.NT]

David Goss, Bruno Anglès, Tuan Ngo Dac, Federico Pellarin, Floric Tavares-Ribeiro. The digit principle and derivatives of certain L-series. Publications Mathématiques de Besançon : Algèbre et Théorie des Nombres, 2019, 2019 (1), pp.81-102. ⟨10.5802/pmb.30⟩. ⟨hal-01864301v2⟩