scientific article; zbMATH DE number 763697

zbMath0819.11044MaRDI QIDQ4835241

Helmut Koch

Publication date: 13 June 1995

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

surveyordersclass numberalgebraic number fieldsvaluationsHecke \(L\)-functionsclass field theory\(p\)-adic \(L\)-functionsalgebraic number theoryArtin \(L\)-functionsDedekind ringsexplicit reciprocity lawsIwasawa's theorystructure of Galois groups

Mathematics Subject Classification ID

Galois theory (11R32) Galois theory (11S20) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Other analytic theory (11R47) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Algebraic number theory: global fields (11Rxx) Limits, profinite groups (20E18) Class field theory; (p)-adic formal groups (11S31) Other algebras and orders, and their zeta and (L)-functions (11R54)

Related Items (11)

On geometric embedding problems and semiabelian groups ⋮ Arithmetic partial differential equations. II ⋮ Complex dimensions of fractals and meromorphic extensions of fractal zeta functions ⋮ Ideal semigroups of noetherian domains and Ponizovski decompositions ⋮ Period and index for higher genus curves ⋮ Distribution of Artin-Schreier-Witt extensions ⋮ On computations in Kummer extensions. ⋮ \(p\)-adic spherical coordinates and their applications ⋮ Arithmetic partial differential equations. I ⋮ Noncommutative geometry and arithmetics ⋮ Galois groups of Mori trinomials and hyperelliptic curves with big monodromy

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