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

Arnaud Jehanne (1) , Xavier-François Roblot (2) , Jonathan Sands (3)

1 A2X - Théorie des Nombres et Algorithmique Arithmétique
2 IGD - Institut Girard Desargues
3 Department of Mathematics

We provide some numerical evidence for the Stark-Chinburg conjecture in 14 examples of fields cut out by 2-dimensional, odd Galois representations of icosahedral type.

Domaines: Théorie des nombres [math.NT]

Arnaud Jehanne, Xavier-François Roblot, Jonathan Sands. Numerical Verification of the Stark-Chinburg Conjecture for Some Icosahedral Representations. Experimental Mathematics, 2003, 12 (4), pp.419-432. ⟨hal-00863091⟩