Nonexistence of certain Galois representations for quadratic fields

DOI10.1142/S1793042118500914zbMath1475.11107OpenAlexW2773882428MaRDI QIDQ4643793

Adam Gamzon, Lance Edward Miller

Publication date: 29 May 2018

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

Full work available at URL: https://doi.org/10.1142/s1793042118500914

zbMATH Keywords

Galois representationsquadratic imaginary fieldsdiscriminant bounds

Mathematics Subject Classification ID

Quadratic extensions (11R11) Galois representations (11F80) Class numbers, class groups, discriminants (11R29)

Cites Work

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• The non-existence of certain mod 2 Galois representations of some small quadratic fields
• Serre's modularity conjecture. I
• Serre's modularity conjecture. II
• On the Finiteness and Non-Existence of Certain Mod 2 Galois Representations of Quadratic Fields
• The nonexistence of certain representations of the absolute Galois group of quadratic fields
• The structure of the multiplicative group of residue classes modulo
• THE NON-EXISTENCE OF CERTAIN MOD p GALOIS REPRESENTATIONS

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