Finite slope Triple Product p-adic L-functions over totally real fields

Abstract

We construct p-adic L-functions associated with triples of finite slope p-adic families of quaternionic automorphic eigenforms over totally real fields on Shimura curves. These results generalize a previous construction, joint work with D.Barrera, performed in the ordinary setting.

References in corpus (5)

• Rankin--Eisenstein classes and explicit reciprocity laws
• Euler systems for Hilbert modular surfaces
• p-adic modular forms of non-integral weight over Shimura curves
• Triple product p-adic L-functions for Shimura curves over totally real number fields
• Modular sheaves of de Rham classes on Hilbert formal modular schemes for unramified primes