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

Cited by in corpus (4)

• Ground states of groupoid C*-algebras, phase transitions and arithmetic subalgebras for Hecke algebras
• Quantum Statistical Mechanics of the Absolute Galois Group
• Reconstructing the Bost--Connes semigroup actions from K-theory
• A Note on Number Fields Sharing the List of Dedekind Zeta-Functions of Abelian Extensions with some Applications towards the Neukirch-Uchida Theorem