Numerical Verification of the Stark-Chinburg Conjecture for Some Icosahedral Representations

DOI10.1080/10586458.2003.10504510zbMath1082.11082OpenAlexW4300671014WikidataQ122978092 ScholiaQ122978092MaRDI QIDQ4651434

Jonathan W. Sands, Xavier-François Roblot, Arnaud Jehanne

Publication date: 21 February 2005

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/52135

zbMATH Keywords

Stark conjecturesicosahedral Galois representations

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Zeta functions and (L)-functions of number fields (11R42)

Cites Work

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• Stark's conjecture for L-functions with first-order zeroes at s=0
• The Stark conjectures on Artin \(L\)-functions at \(s=0\). Lecture notes of a course in Orsay edited by Dominique Bernardi and Norbert Schappacher.
• Stark's conjecture and Abelian \(L\)-functions with higher order zeros at \(s=0\)
• \(L\)-functions at \(s=1\). IV: First derivatives at \(s=0\)
• \(L\)-functions at \(s=1\). II: Artin \(L\)-functions with rational characters
• \(L\)-functions at \(s=1\). III: Totally real fields and Hilbert's twelfth problem
• Icosahedral Galois representations
• On Artin's conjecture for odd 2-dimensional representations
• On icosahedral Artin representations
• A Stark conjecture ``over \({\mathbb{Z}}\) for abelian \(L\)-functions with multiple zeros
• Stark's Conjectures and Hilbert's Twelfth Problem
• Computing Stark units for totally real cubic fields
• Advanced Topics in Computional Number Theory
• Modularity of an odd icosahedral representation.
• Realization over \(\mathbb{Q}\) of the groups \(\tilde A_5\) and \(\hat A_5\)

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