THE STRONG ARTIN CONJECTURE AND LARGE CLASS NUMBERS

DOI10.1093/qmath/has046zbMath1303.11124OpenAlexW2331535317WikidataQ122966023 ScholiaQ122966023MaRDI QIDQ2922411

Peter Jaehyun Cho

Publication date: 10 October 2014

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/has046

zbMATH Keywords

Galois representationGalois extensionclass numbersstrong Artin conjectureGalois closure

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Langlands-Weil conjectures, nonabelian class field theory (11R39)

Related Items (5)

Langlands reciprocity for certain Galois extensions ⋮ Explicit estimates for Artin \(L\)-functions: Duke's short-sum theorem and Dedekind zeta residues ⋮ Quartic fields with large class numbers ⋮ An approximate form of Artin's holomorphy conjecture and non-vanishing of Artin \(L\)-functions ⋮ Low lying zeros of Artin \(L\)-functions

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