Triple product p-adic L-functions for Shimura curves over totally real number fields

Autor:	Salazar, Daniel Barrera, Blanco, Santiago Molina
Rok vydání:	2019
Předmět:	Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	Let F be a totally real number field. Using a recent geometric approach developed by Andreatta and Iovita we construct several variables p-adic families of finite slope quaternionic automorphic forms over F. It is achieved by interpolating the modular sheaves defined over some auxiliary unitary Shimura curves. Secondly, we attach p-adic L-functions to triples of ordinary p-adic families of quaternionic automorphic eigenforms. This is done by relating trilinear periods to some trilinear products over unitary Shimura curves which can be interpolated adapting the work of Liu-Zhang-Zhang to our families.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1908.00091 Zobrazit plný text záznamu View this record from Arxiv