On the existence of large degree Galois representations for fields of small discriminant

DOI10.2140/PJM.2014.271.243zbMath1307.11121arXiv1211.1353OpenAlexW2024198953MaRDI QIDQ471298

Jeremy Rouse, Frank Thorne

Publication date: 14 November 2014

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

Full work available at URL: https://arxiv.org/abs/1211.1353

zbMATH Keywords

Galois representationRankin-Selberg \(L\)-functionArtin \(L\)-function

Mathematics Subject Classification ID

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

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An approximate form of Artin's holomorphy conjecture and non-vanishing of Artin \(L\)-functions

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