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20172021
most citedReconstructing global fields from Dirichlet L-series

6 citations · 11 across the 5 of their papers we have counts for

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2 papers · 1 filter

math.NT2017★ 4 cited

Reconstructing global fields from dynamics in the abelianized Galois group

Gunther Cornelissen, Xin Li, Matilde Marcolli +1

We study a dynamical system induced by the Artin reciprocity map for a global field. We translate the conjugacy of such dynamical systems into various arithmetical properties that…

math.NT2017★ 6 cited

Reconstructing global fields from Dirichlet L-series

Gunther Cornelissen, Bart de Smit, Xin Li +2

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.