L. Palacios

collaborators

3 papers

math.NT2025

Non-cuspidal Bianchi modular forms and Katz $p$ -adic $L$ -functions

Luis Santiago Palacios

Let $K$ be an imaginary quadratic field. In this article, we construct $p$ -adic $L$ -functions of non-cuspidal Bianchi modular forms by introducing the notions of $C$ -cuspidality an…

math.NT2025

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

Luis Santiago Palacios

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 small slope $p$ -stabilised Bianchi modu…

math.NT2024

Geometry of the Bianchi eigenvariety around non-cuspidal points and strong multiplicity-one results

Daniel Barrera Salazar, Luis Santiago Palacios

Let $K$ be an imaginary quadratic field. In this article, we study the local geometry of the Bianchi eigenvariety around non-cuspidal classical points, in particular, ordinary non-…

Non-cuspidal Bianchi modular forms and Katz p-adic L-functions

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

Geometry of the Bianchi eigenvariety around non-cuspidal points and strong multiplicity-one results

Non-cuspidal Bianchi modular forms and Katz $p$ -adic $L$ -functions

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