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The ideal class groups of dihedral extensions over imaginary quadratic fields and the special values of the Artin \(L\)-function

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Publication:531842
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DOI10.1016/J.JNT.2010.11.011zbMath1248.11083OpenAlexW2026740894MaRDI QIDQ531842

Yutaka Konomi

Publication date: 20 April 2011

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2010.11.011


zbMATH Keywords

class numberIwasawa theoryArtin \(L\)-functiondihedral extension


Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42) Iwasawa theory (11R23)


Related Items (3)

On the ideal class group on which the alternating group of degree five acts and special values of Artin \(L\)-functions ⋮ On the structure of the Galois group of the maximal pro-\(p\) extension with restricted ramification over the cyclotomic \(\mathbb{Z}_p\)-extension ⋮ On the special values of Artin \(L\)-functions for dihedral extensions




Cites Work

  • On a conjecture of Brumer
  • Unnamed Item




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