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arXiv:2105.02770 [math.NT]AbstractReferencesReviewsResources

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

Luis Santiago Palacios

Published 2021-05-06Version 1

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.

Comments: 20 pages. Comments welcome!
Categories: math.NT
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