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Class Field Theory and L Functions: Foundations and Main Results book cover

1st Edition

Class Field Theory and L Functions Foundations and Main Results

By Franz Halter-Koch Copyright 2022
584 Pages
by Chapman & Hall

584 Pages
by Chapman & Hall

584 Pages
by Chapman & Hall
Also available as eBook on:
The book contains the main results of class field theory and Artin L functions, both for number fields and function fields, together with the necessary foundations concerning topological groups, cohomology, and simple algebras. While the first three chapters presuppose only basic algebraic and topological knowledge, the rest of the books assumes knowledge of the basic theory of algebraic... Read more
  1. Topological groups and infinite Galois theory

  2. Cohomology of groups

  3. Simple algebras

  4. Local class field theory

  5. Global fields: Adeles, ideles and holomorphy domains

  6. Global class field theory

  7. Functional equations and Artin L functions

Biography

Franz Halter-Koch is professor emeritus at the University of Graz, Graz, Austria. He is the author of Ideal Systems (Marcel Dekker,1998), Quadratic Irrationals (CRC, 2013), co-author of Non-Unique Factorizations (CRC 2006), and An Invitation to Algebraic Numbers and Algebraic Functions (CRC Press, 2020).

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