A class number formula for cyclotomic fields

DOI10.2307/1970270zbMath0125.02003OpenAlexW2321725296MaRDI QIDQ2393861

Kenkichi Iwasawa

Publication date: 1962

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1970270

zbMATH Keywords

cyclotomic fieldsclass number formula

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18)

Related Items (35)

On the Class Number of a Relatively Cyclic Number Field ⋮ Unnamed Item ⋮ An index formula for the relative class number of an abelian number field ⋮ A cuspidal class number formula for the modular curves \(X_1(N)\) ⋮ On the Stickelberger ideal and the circular units of an abelian field ⋮ A note on the Stickelberger ideal of conductor level ⋮ A class number formula for elementary-Abelian-group rings ⋮ Stickelberger ideals and relative class numbers in function fields ⋮ On bases of odd and even universal ordinary distributions ⋮ A recursion formula for the relative class number of the \(p^ n\)-th cyclotomic field ⋮ Generalized Maillet determinant ⋮ On the Stickelberger ideal of a quadratic twist of a cyclotomic field ⋮ Tame Galois module structure revisited ⋮ A study of Inkeri's class number formula ⋮ \(p\)-adic proofs of congruences for the Bernoulli numbers ⋮ Stickelberger ideals of conductor \(p\) and their application ⋮ The p-primary component of the cuspidal divisor class group on the modular curve X(p) ⋮ Unnamed Item ⋮ The index of Stickelberger ideals of order 2 and cuspidal class numbers ⋮ Stickelberger ideals ⋮ Fine structure of class groups of cyclic p-groups ⋮ Unnamed Item ⋮ On the Stickelberger Ideal and the Relative Class Number ⋮ Größencharaktere und Relativklassenzahl abelscher Zahlkörper ⋮ Generalized Bernoulli numbers and the theory of cyclotomic fields ⋮ An equivariant version of an index formula of Fröhlich and McCulloh ⋮ On the Stickelberger ideal of (2,\dots, 2)-extensions of a cyclotomic number field ⋮ On an index formula for the relative class number of a cyclotomic number field ⋮ Dirichlet convolution of cotangent numbers and relative class number formulas ⋮ The image of the Atiyah-Bott map ⋮ On the Stickelberger ideal and the relative class number ⋮ Class numbers of cyclotomic function fields ⋮ Units and class groups in number theory and algebraic geometry ⋮ On the index of the Stickelberger ideal and the cyclotomic regulator ⋮ A note on the index of irregularity

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