2 citations · 5 across the 8 of their papers we have counts for
8 papers
Conjectures, consequences, and numerical experiments for p-adic Artin L-functions
Rob de Jeu, Xavier-François Roblot
We conjecture that the p-adic L-function of a non-trivial irreducible even Artin character over a totally real field is non-zero at all non-zero integers. This implies that a conje…
Index formulae for Stark units and their solutions
Xavier-François Roblot
Let be an abelian extension of number fields with a distinguished place of that splits totally in . In that situation, the abelian rank one Stark conjecture predicts t…
Computing -adic -functions of totally real number fields
Xavier-François Roblot
We prove explicit formulas for the -adic -functions of totally real number fields and show how these formulas can be used to compute values and representations of -adic $L…
Numerical evidence toward a 2-adic equivariant "main conjecture"
Xavier-François Roblot, Alfred Weiss
Recently Ritter and Weiss introduced an equivariant "main conjecture" than generalizes and refines the Main Conjecture of Iwasawa theory. In this paper, we show that, for the prime…
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…