Application of the Strong Artin Conjecture to the Class Number Problem

DOI10.4153/CJM-2012-031-3zbMath1283.11155OpenAlexW2317623867MaRDI QIDQ2862940

Henry H. Kim, Peter Jaehyun Cho

Publication date: 20 November 2013

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-2012-031-3

zbMATH Keywords

\(L\)-functionsClass numberGalois extensions with group: \(A_4\), \(S_4\), or \(S_5\)

Mathematics Subject Classification ID

Galois theory (11R32) Other number fields (11R21) Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42)

Related Items (4)

Explicit estimates for Artin \(L\)-functions: Duke's short-sum theorem and Dedekind zeta residues ⋮ Quartic fields with large class numbers ⋮ Probabilistic properties of number fields ⋮ Low lying zeros of Artin \(L\)-functions

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