Arithmetic of critical -adic -functions
D Benois, K Büyükboduk - arXiv preprint arXiv:2403.16076, 2024 - arxiv.org
Our objective in the present work is to develop a fairly complete arithmetic theory of critical $
p $-adic $ L $-functions on the eigencurve. To this end, we carry out the following tasks: a) …
p $-adic $ L $-functions on the eigencurve. To this end, we carry out the following tasks: a) …
-isomorphisms for rank one -modules over Lubin-Tate Robba rings
M Malcic, R Steingart, O Venjakob… - arXiv preprint arXiv …, 2024 - arxiv.org
Inspired by Nakamura's work (arXiv: 1305.0880) on $\epsilon $-isomorphisms for
$(\varphi,\Gamma) $-modules over (relative) Robba rings with respect to the cyclotomic …
$(\varphi,\Gamma) $-modules over (relative) Robba rings with respect to the cyclotomic …
Functional equations for supersingular abelian varieties over -extensions
C Dion - Annales mathématiques du Québec, 2024 - Springer
Let K be an imaginary quadratic field and K∞ be the Z p 2-extension of K. Answering a
question of Ahmed and Lim, we show that the Pontryagin dual of the Selmer group over K∞ …
question of Ahmed and Lim, we show that the Pontryagin dual of the Selmer group over K∞ …
Signed -adic -functions of Bianchi modular forms
M Deo - arXiv preprint arXiv:2401.15881, 2024 - arxiv.org
Let $ p\geq 3$ be a prime number and $ K $ be a quadratic imaginary field in which $ p $
splits as $\mathfrak {p}\overline {\mathfrak {p}} $. Let $\mathcal {F} $ be a cuspidal Bianchi …
splits as $\mathfrak {p}\overline {\mathfrak {p}} $. Let $\mathcal {F} $ be a cuspidal Bianchi …
Triple product -adic -functions for finite slope families and a -adic Gross-Zagier formula
TH Huang - arXiv preprint arXiv:2403.18620, 2024 - arxiv.org
In this paper, we generalize two results of H. Darmon and V. Rotger on triple product $ p $-
adic $ L $-functions associated with Hida families to finite slope families. We first prove a $ p …
adic $ L $-functions associated with Hida families to finite slope families. We first prove a $ p …