Reconstructing global fields from Dirichlet L-series

arxiv: 1706.04515 · v1 · pith:OVZYXS2Rnew · submitted 2017-06-14 · 🧮 math.NT

Gunther Cornelissen , Bart de Smit , Xin Li , Matilde Marcolli , Harry Smit This is my paper

classification 🧮 math.NT

keywords dirichletfieldsgloball-seriescharactersgroupsisomorphicisomorphism

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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.

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