On the exceptional zeros of 𝑝-non-ordinary 𝑝-adic 𝐿-functions and a conjecture of Perrin-Riou
D Benois, K Büyükboduk - Transactions of the American Mathematical …, 2023 - ams.org
Our goal in this article is to prove a form of $ p $-adic Birch and Swinnerton-Dyer formula for
the second derivative of the $ p $-adic $ L $-function associated to a newform $ f $ which is …
the second derivative of the $ p $-adic $ L $-function associated to a newform $ f $ which is …
[HTML][HTML] Compairing Categories of Lubin–Tate -Modules
P Schneider, O Venjakob - Results in Mathematics, 2023 - Springer
Abstract In the Lubin–Tate setting we compare different categories of (φ L, Γ)-modules over
various perfect or imperfect coefficient rings. Moreover, we study their associated Herr …
various perfect or imperfect coefficient rings. Moreover, we study their associated Herr …
Explicit Reciprocity Laws in Iwasawa Theory--A survey with some focus on the Lubin-Tate setting
O Venjakob - arXiv preprint arXiv:2311.08237, 2023 - arxiv.org
arXiv:2311.08237v1 [math.NT] 14 Nov 2023 Page 1 arXiv:2311.08237v1 [math.NT] 14 Nov
2023 EXPLICIT RECIPROCITY LAWS IN IWASAWA THEORY - A SURVEY WITH SOME …
2023 EXPLICIT RECIPROCITY LAWS IN IWASAWA THEORY - A SURVEY WITH SOME …
Iwasawa theory of automorphic representations of at non-ordinary primes
Let Π be a cuspidal automorphic representation of GL 2 n (AQ), and let p be an odd prime at
which Π is unramified. In a recent work, Barrera, Dimitrov and Williams constructed possibly …
which Π is unramified. In a recent work, Barrera, Dimitrov and Williams constructed possibly …
On extra zeros of 𝑝-adic Rankin–Selberg 𝐿-functions
D Benois, S Horte - St. Petersburg Mathematical Journal, 2023 - ams.org
A version of the extra-zero conjecture, formulated by the first named author, is proved for $ p
$-adic $ L $-functions associated with Rankin–Selberg convolutions of modular forms of the …
$-adic $ L $-functions associated with Rankin–Selberg convolutions of modular forms of the …
On the rank-part of the Mazur–Tate refined conjecture for higher weight modular forms
K Ota - Annales de l'Institut Fourier, 2023 - aif.centre-mersenne.org
Under some assumptions, we prove the rank-part of the Mazur–Tate refined conjecture of
BSD type. More concretely, we prove that the rank of the Selmer group of an elliptic modular …
BSD type. More concretely, we prove that the rank of the Selmer group of an elliptic modular …
Reciprocity laws for -modules over Lubin-Tate extensions
P Schneider, O Venjakob - arXiv preprint arXiv:2301.11606, 2023 - arxiv.org
In the Lubin-Tate setting we study pairings for analytic $(\varphi_L,\Gamma_L) $-modules
and prove an abstract reciprocity law which then implies a relation between the analogue of …
and prove an abstract reciprocity law which then implies a relation between the analogue of …
Local epsilon conjecture and p-adic differential equations
T Ishida, K Nakamura - arXiv preprint arXiv:2302.09744, 2023 - arxiv.org
Laurent Berger attached a p-adic differential equation N_rig (M) with a Frobenius structure to
an arbitrary de Rham (phi, Gamma)-module over a Robba ring. In this article, we compare …
an arbitrary de Rham (phi, Gamma)-module over a Robba ring. In this article, we compare …
Explicit reciprocity laws and Iwasawa theory for modular forms
R Pollack - 2023 - open.bu.edu
We prove that the Mazur-Tate elements of an eigenform f sit inside the Fitting ideals of the
corresponding dual Selmer groups along the cyclotomic Zp-extension (up to scaling by a …
corresponding dual Selmer groups along the cyclotomic Zp-extension (up to scaling by a …
[PDF][PDF] Reciprocity laws for pφL, ΓLq-modules over Lubin-Tate extensions
P Schneider, O Venjakob - 2023 - ivv5hpp.uni-muenster.de
Abstract In the Lubin-Tate setting we study pairings for analytic pφL, ΓLq-modules and prove
an abstract reciprocity law which then implies a relation between the analogue of Perrin …
an abstract reciprocity law which then implies a relation between the analogue of Perrin …