On the class numbers of arithmetically equivalent fields

DOI10.1016/0022-314X(78)90020-3zbMath0393.12009MaRDI QIDQ1252382

Robert Perlis

Publication date: 1978

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

zbMATH Keywords

RegulatorsArithmetically EquivalentClass GroupsClass Numbers

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42) Iwasawa theory (11R23)

Related Items (16)

Hecke actions on Brauer groups ⋮ Cohomological Mackey functors in number theory ⋮ Hecke actions on the \(K\)-theory of commutative rings ⋮ Zeta functions do not determine class numbers ⋮ Stronger arithmetic equivalence ⋮ Constructing number field isomorphisms from \(*\)-isomorphisms of certain crossed product \(\mathrm{C}^*\)-algebras ⋮ A remark on Dedekind zeta functions and the \(K\)-group ⋮ \(L\)-series and isomorphisms of number fields ⋮ Small linearly equivalent \(G\)-sets and a construction of Beaulieu. ⋮ A refined notion of arithmetically equivalent number fields, and curves with isomorphic Jacobians ⋮ Class number relations from a computational point of view ⋮ Gassmann Equivalent Dessins ⋮ On zeta-functions and cyclotomic \({\mathbb{Z}}_ p\)-extensions of algebraic number fields ⋮ On zeta functions and Iwasawa modules ⋮ Hecke actions on Picard groups ⋮ Subgroups inducing the same permutation representation. II

Cites Work

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• On the equation \(\zeta_K(s)=\zeta_{K'}(s)\)
• On the construction of Galois extensions of function fields and number fields
• A remark about zeta functions of number fields of prime degree.
• Endliche Gruppen I
• Inequalities for general matrix functions

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