On arithmetically equivalent fields with distinct \(p\)-class numbers.

DOI10.1016/j.jalgebra.2003.09.036zbMath1037.11069OpenAlexW2151216903MaRDI QIDQ1427353

Bart de Smit

Publication date: 14 March 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.09.036

zbMATH Keywords

Galois extensionzeta functionclass grouparithmetically equivalent fields

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42)

Related Items (2)

Small linearly equivalent \(G\)-sets and a construction of Beaulieu. ⋮ Arithmetic equivalence for function fields, the Goss zeta function and a generalisation

Cites Work

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• Liftings of projective 2-dimensional Galois representations and embedding problems
• Zeta functions do not determine class numbers

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