4 papers
Verifying the Congruence Conjecture for Rubin-Stark Elements
Xavier-François Roblot, David Solomon
The `Congruence Conjecture' was developed by the second author in a previous paper. It provides a conjectural explicit reciprocity law for a certain element associated to an abelia…
On the p-adic Beilinson conjecture for number fields
Amnon Besser, Paul Buckingham, Rob de Jeu +1
We formulate a conjectural p-adic analogue of Borel's theorem relating regulators for higher K-groups of number fields to special values of the corresponding zeta-functions, using…
Regulators of rank one quadratic twists
Christophe Delaunay, Xavier-François Roblot
We investigate the regulators of elliptic curves with rank 1 in some families of quadratic twists of a fixed elliptic curve. In particular, we formulate some conjectures on the ave…
Verifying a p-adic Abelian Stark Conjecture at s=1
Xavier-Francois Roblot, David Solomon
In a previous paper the second author developed a new approach to the abelian p-adic Stark Conjecture at s=1 and stated some related conjectures. This paper develops and applies te…