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

Luis Santiago Palacios

doi:10.1016/j.jnt.2022.05.011

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

Number Theory 2025-05-15 v2

Authors: Luis Santiago Palacios

View on arXiv ↗ PDF ↗ DOI ↗

Abstract

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 modular forms. Then, using $p$ -adic families of Bianchi modular forms, we extend our result to $\Sigma$ -smooth base-change Bianchi modular forms.

Keywords

p-adic analysis

Cite

@article{arxiv.2105.02770,
  title  = {Functional equation of the $p$-adic $L$-function of Bianchi modular forms},
  author = {Luis Santiago Palacios},
  journal= {arXiv preprint arXiv:2105.02770},
  year   = {2025}
}

Comments

Final version

Related papers

View all related →