Verifying a p-adic Abelian Stark Conjecture at s=1

Xavier-François Roblot (1) , David Solomon (2)

1 IGD - Institut Girard Desargues
2 Department of Mathematics

In a previous paper, the second author developed a new approach to the abelian p-adic Stark conjecture at s=1 and stated related conjectures. The aim of the present paper is to develop and apply techniques to numerically investigate one of these -- the ''Weak Refined Combined Conjecture'' -- in fifteen cases.

Domaines: Théorie des nombres [math.NT]

Xavier-François Roblot, David Solomon. Verifying a p-adic Abelian Stark Conjecture at s=1. Journal of Number Theory, 2004, 107 (1), pp.168-206. ⟨hal-00863142⟩