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Characterization of global fields by Dirichlet L-series

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

Research in Number Theory · 2018 · 21 citations · 6 references

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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.

References

6

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Quantum Statistical Mechanics, L-series and Anabelian Geometry

Gunther Cornelissen, Matilde Marcolli · arXiv (Cornell University) · 2010 · 31 citations · Full text

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Galois Group of the Maximal Abelian Extension over an Algebraic Number Field

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