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A classical invitation to algebraic numbers and class fields. With two appendices by Olga Taussky: `Artin's 1932 Göttingen lectures on class field theory' and `Connections between algebraic number theory and integral matrices'.

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Publication:1801321
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zbMath0688.12001MaRDI QIDQ1801321

Harvey Cohn

Publication date: 5 June 1993

Published in: Universitext (Search for Journal in Brave)


zbMATH Keywords

textbookclass field theoryalgebraic number theoryintegral matrices


Mathematics Subject Classification ID

Class field theory (11R37) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Matrices of integers (15B36) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to field theory (12-01) Research exposition (monographs, survey articles) pertaining to field theory (12-02)


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Modular data: the algebraic combinatorics of conformal field theory ⋮ Unramified quaternion extensions of quadratic number fields ⋮ Optimal spinor selectivity for quaternion orders ⋮ Root number bias for newforms ⋮ Relative norms of prime ideals in small regions ⋮ Hecke theory and equidistribution for the quantization of linear maps of the torus ⋮ On certain real quadratic fields with class numbers 3 and 5



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