Computing p-adic L-functions of totally real number fields

Xavier-François Roblot (1)

1 ICJ - Institut Camille Jordan

We prove explicit formulas for the p-adic L-functions of totally real number fields and show how these formulas can be used to compute values and representations of p-adic L-functions.

Domaines: Théorie des nombres [math.NT]

Xavier-François Roblot. Computing p-adic L-functions of totally real number fields. Mathematics of Computation, 2013, 84 (292), pp.831-874. ⟨10.1090/S0025-5718-2014-02889-5⟩. ⟨hal-00863161⟩