Reconstructing global fields from Dirichlet L-series

2017/06/14 by Gunther Cornelissen, Cornelissen, Gunther, Bart de Smit +7
Mathematics · #11R37 #11R42 #11R56 #14H30 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11R37 #msc:11R42 #msc:11R56 #msc:14H30

paper · pdf · doi:10.48550/arxiv.1706.04515

14 pages

arxiv created 2017/06/14 · arxiv updated 2017/06/15

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.

Related

• L-series and isomorphisms of number fields
• L-series and homomorphisms of number fields
• L-series and isogenies of abelian varieties
• Algebraicity of Artin--Hasse--Weil L-series over global function fields
• B(G) for all local and global fields