Reconstructing global fields from Dirichlet L-series

Abstract

We prove that two global fields are isomorphic if and only if there is an isomorphism of groups of Dirichlet characters that preserves L-series.

14 pages

References in corpus (2)

• Quantum Statistical Mechanics, L-series and Anabelian Geometry
• On Artin L-functions and Gassmann Equivalence for Global Function Fields