Galois invariance of local root numbers

DOI10.1007/s00208-010-0626-zzbMath1260.11071OpenAlexW2131456707MaRDI QIDQ652254

David E. Rohrlich

Publication date: 14 December 2011

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

Full work available at URL: https://doi.org/10.1007/s00208-010-0626-z

zbMATH Keywords

local fieldsWeil groupWeil-Deligne group\(\varepsilon\)-factorsGalois invarianceLocal root number

Mathematics Subject Classification ID

Galois theory (11R32) Galois theory (11S20) Galois representations (11F80) Zeta functions and (L)-functions of number fields (11R42) Langlands-Weil conjectures, nonabelian class field theory (11S37)

Related Items (6)

Invariance of the parity conjecture for $p$-Selmer groups of elliptic curves in a $D_{2p^{n}}$-extension ⋮ Local signs and Tamagawa numbers ⋮ Regulator constants and the parity conjecture ⋮ On the root numbers of abelian varieties with real multiplication ⋮ On the parity conjecture for abelian surfaces ⋮ Iwasawa Theory, projective modules, and modular representations

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• On the functional equation of the Artin L-function for characters of real representations
• Root Numbers of Hecke L-Functions of CM Fields

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