An Invitation to Algebraic Numbers and Algebraic Functions

DOI10.1201/9780429506550zbMath1477.11002OpenAlexW3008025879MaRDI QIDQ5108305

Franz Halter-Koch

Publication date: 4 May 2020

Full work available at URL: https://doi.org/10.1201/9780429506550

zbMATH Keywords

\(L\) functionsalgebraic number fieldsclass groupsramification groupszeta functionsvaluation theoryDedekind domainsRiemann-Roch theoremalgebraic function fieldsfield extensionsanalytic number theoryWeil differentials

Mathematics Subject Classification ID

Galois theory (11S20) Ramification and extension theory (11S15) Zeta functions and (L)-functions (11S40) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory (11-01) Algebraic number theory: global fields (11Rxx) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to field theory (12-01) Algebraic number theory: local fields (11Sxx) Field extensions (12Fxx)

Related Items (3)

Monoids of sequences over finite abelian groups defined via zero-sums with respect to a given set of weights and applications to factorizations of norms of algebraic integers ⋮ On monoids of weighted zero-sum sequences and applications to norm monoids in Galois number fields and binary quadratic forms ⋮ On the arithmetic of stable domains

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