Functional equation of the $p$-adic $L$-function of Bianchi modular forms

Autor:	Palacios, Luis Santiago
Rok vydání:	2021
Předmět:	Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	Let $K$ be an imaginary quadratic field with class number 1, in this paper we obtain the functional equation of the $p$-adic $L$-function of: (1) a small slope $p$-stabilisation of a Bianchi modular form, and (2) a critical slope $p$-stabilisation of a Base change Bianchi modular form that is $\Sigma$-smooth. To treat case (2) we use $p$-adic families of Bianchi modular forms. Comment: 20 pages. Comments welcome!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2105.02770 Zobrazit plný text záznamu View this record from Arxiv