Reconstructing global fields from Dirichlet L-series

Gunther Cornelissen; Bart de Smit; Xin Li; Matilde Marcolli; Harry Smit

Reconstructing global fields from Dirichlet L-series

Number Theory 2017-06-15 v1

Authors: Gunther Cornelissen , Bart de Smit , Xin Li , Matilde Marcolli , Harry Smit

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.

Keywords

fields character theory

Cite

@article{arxiv.1706.04515,
  title  = {Reconstructing global fields from Dirichlet L-series},
  author = {Gunther Cornelissen and Bart de Smit and Xin Li and Matilde Marcolli and Harry Smit},
  journal= {arXiv preprint arXiv:1706.04515},
  year   = {2017}
}