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Are number fields determined by Artin \(L\)-functions?

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Publication:290032
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DOI10.1016/j.jnt.2016.03.023zbMath1411.11117arXiv1509.06883OpenAlexW2962869758MaRDI QIDQ290032

Jürgen Klüners, Florin Nicolae

Publication date: 1 June 2016

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

Full work available at URL: https://arxiv.org/abs/1509.06883


zbMATH Keywords

number fieldsGalois extensionArtin \(L\)-function


Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42)


Related Items (4)

Zeros of Rankin-Selberg \(L\)-functions at the edge of the critical strip ⋮ Coincidence of $L$-functions ⋮ Pair arithmetical equivalence for quadratic fields ⋮ An effective Chebotarev density theorem for families of number fields, with an application to \(\ell \)-torsion in class groups



Cites Work

  • On the equation \(\zeta_K(s)=\zeta_{K'}(s)\)
  • On the determination of number fields by \(L\)-functions
  • On Artin's L-functions. I


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