-adic -functions for

DB Salazar, C Williams - Canadian Journal of Mathematics. Journal …, 2019 - cambridge.org
Since Rob Pollack and Glenn Stevens used overconvergent modular symbols to construct p-
adic L-functions for non-critical slope rational modular forms, the theory has been extended …

Computing Tangent Spaces to Eigenvarieties

J Rawson - arXiv preprint arXiv:2402.13799, 2024 - arxiv.org
We develop an effective algorithm to compute the derivative of a Bianchi modular form with
respect to weight space as it varies in a $ p $-adic family. This method is entirely local at the …

[PDF][PDF] Facultad de Ciencia

LSEP Moyano - 2022 - doctmat.dmcc.usach.cl
The aim of this thesis is to contribute to the understanding and construction of the p-adic L-
function of Bianchi modular forms, concretely: a) we obtain the functional equation of the p …

Quelques approches p-adiques pour étudier les formes modulaires et leur fonction L

A Doyon - 2022 - corpus.ulaval.ca
Résumé Ce mémoire a pour but d'introduire le lecteur aux divers outils qui facilitent l'étude
des formes modulaires et des valeurs spéciales de leur fonction L associée. Le premier …

On the non-vanishing of theta lifting of Bianchi modular forms to Siegel modular forms

D Zhang - Abhandlungen aus dem Mathematischen Seminar der …, 2024 - Springer
In this paper we study the theta lifting of a weight 2 Bianchi modular form\({\mathcal {F}}\) of
level\(\Gamma _0 ({\mathfrak {n}})\) with\({\mathfrak {n}}\) square-free to a weight 2 …