Even icosahedral Galois representations of prime conductor

DOI10.1016/j.jnt.2005.08.008zbMath1094.11041arXivmath/0405534OpenAlexW2166318405MaRDI QIDQ2493053

Darrin Doud, Michael W. Moore

Publication date: 9 June 2006

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

Full work available at URL: https://arxiv.org/abs/math/0405534

zbMATH Keywords

icosahedral Galois extension

Mathematics Subject Classification ID

Galois theory (11R32) Algebraic number theory computations (11Y40)

Related Items (4)

Reciprocity laws and Galois representations: recent breakthroughs ⋮ Numerical computations with the trace formula and the Selberg eigenvalue conjecture ⋮ FINDING GALOIS REPRESENTATIONS CORRESPONDING TO CERTAIN HECKE EIGENCLASSES ⋮ Twist‐minimal trace formulas and the Selberg eigenvalue conjecture

Cites Work

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• On the computation of number fields of small discriminants including the minimum discriminants of sixth degree fields
• Icosahedral Galois representations
• Galois representations with conjectural connections to arithmetic cohomology
• Represéntations Galoisiennes paires
• Septic fields with discriminant $\pm 2^a 3^b$

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