Functional equation of the $p$-adic $L$-function of Bianchi modular forms
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: (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.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2021
- DOI:
- arXiv:
- arXiv:2105.02770
- Bibcode:
- 2021arXiv210502770S
- Keywords:
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- Mathematics - Number Theory
- E-Print:
- 20 pages. Comments welcome!