Some analytic estimates of class numbers and discriminants

DOI10.1007/BF01389854zbMath0299.12010WikidataQ105870419 ScholiaQ105870419MaRDI QIDQ5905700

Andrew M. Odlyzko

Publication date: 1975

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142342

Mathematics Subject Classification ID

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

Related Items

The class number one problem for some non-abelian normal CM-fields of degree 48 ⋮ Algebraic number fields ⋮ Explicit Lower bounds for residues at 𝑠=1 of Dedekind zeta functions and relative class numbers of CM-fields ⋮ Artin \(L\)-functions of small conductor ⋮ Hurwitz ball quotients ⋮ Fake quadrics from irreducible lattices acting on the product of upper half planes ⋮ The analytic theory of algebraic numbers ⋮ The class number one problem for some non-abelian normal CM-fields ⋮ Tame Galois module structure revisited ⋮ CM-fields with relative class number one ⋮ An explicit CM type norm formula and effective nonvanishing of class group \(L\)-functions for CM fields

Cites Work

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• Lower bounds for discriminants of number fields. II
• Some effective cases of the Brauer-Siegel theorem
• The product of \(n\) real homogeneous linear forms
• On the Product of n Complex Homogeneous Linear Forms
• Lower bounds for discriminants of number fields

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