The Artin conjecture for some \(S_5\)-extensions

DOI10.1007/s00208-012-0839-4zbMath1329.11045arXiv1112.1152OpenAlexW2081195751WikidataQ123344918 ScholiaQ123344918MaRDI QIDQ1952294

Frank Calegari

Publication date: 30 May 2013

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.1152

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Galois representations (11F80) Langlands-Weil conjectures, nonabelian class field theory (11S37) Langlands-Weil conjectures, nonabelian class field theory (11R39)

Related Items

Relations between cusp forms sharing Hecke eigenvalues ⋮ Langlands reciprocity for certain Galois extensions ⋮ Moments of logarithmic derivatives of \(L\)-functions ⋮ Splitting fields of \(X^n - X -1\) (particularly for \(n=5)\), prime decomposition and modular forms ⋮ Counting problems: class groups, primes, and number fields ⋮ The smallest prime in a conjugacy class and the first sign change for automorphic 𝐿-functions ⋮ An effective Chebotarev density theorem for families of number fields, with an application to \(\ell \)-torsion in class groups ⋮ SATO–TATE EQUIDISTRIBUTION OF CERTAIN FAMILIES OF ARTIN -FUNCTIONS ⋮ Low lying zeros of Artin \(L\)-functions

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