The analytic theory of algebraic numbers

DOI10.1090/S0002-9904-1975-13873-0zbMath0329.12010MaRDI QIDQ4094959

H. M. Stark

Publication date: 1975

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Brauer-Siegel theoremDirichlet's unit theoremfiniteness of class numberanalytic proofsMinkowski's discriminant theorem

Mathematics Subject Classification ID

Units and factorization (11R27) Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42)

Related Items (8)

Algebraic number fields ⋮ The minima of quadratic forms and the behavior of Epstein and Dedekind zeta functions ⋮ Bounds of discriminants of number fields ⋮ Norm-Euclidean Galois fields and the generalized Riemann hypothesis ⋮ Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions : a survey of recent results ⋮ The works of Claude Chevalley on class field theory: an introduction ⋮ Explicit zero density theorems for Dedekind zeta functions ⋮ Explicit upper bounds for 𝐿-functions on the critical line

Cites Work

• \(L\)-functions at \(s=1\). II: Artin \(L\)-functions with rational characters
• Some effective cases of the Brauer-Siegel theorem
• On Real Zeros of Dedekind ζ-Functions
• On the Product of n Complex Homogeneous Linear Forms
• Some analytic estimates of class numbers and discriminants

This page was built for publication: The analytic theory of algebraic numbers