\(L\)-series and isomorphisms of number fields

DOI10.1016/j.jnt.2020.05.021zbMath1470.11294arXiv1901.06198OpenAlexW3037032080MaRDI QIDQ2220457

Harry Smit

Publication date: 25 January 2021

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.06198

zbMATH Keywords

absolute Galois groupclass field theory\(L\)-seriespermutation charactersarithmetic equivalenceDedekind-zeta-function

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Other Dirichlet series and zeta functions (11M41) Class field theory (11R37) Zeta functions and (L)-functions of number fields (11R42)

Related Items (2)

Stronger arithmetic equivalence ⋮ Constructing number field isomorphisms from \(*\)-isomorphisms of certain crossed product \(\mathrm{C}^*\)-algebras

Cites Work

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• Isomorphisms of Galois groups
• On the equation \(\zeta_K(s)=\zeta_{K'}(s)\)
• On the class numbers of arithmetically equivalent fields
• A new characterization of arithmetic equivalence
• Characterization of global fields by Dirichlet \(L\)-series
• Kennzeichnung der p-adischen und der endlichen algebraischen Zahlkörper
• Imaginary quadratic fields with isomorphic abelian Galois groups
• On adele rings of arithmetically equivalent fields
• Galois Group of the Maximal Abelian Extension over an Algebraic Number Field
• Zahlkörper mit gleicher Primzerlegung.

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