We construct the three-variable $ p $-adic triple product $ L $-functions attached to Hida
families of elliptic newforms and prove the explicit interpolation formulae at all critical …

On the eigencurve at classical weight 1 points Page 1 ON THE EIGENCURVE AT CLASSICAL
WEIGHT 1 POINTS JOËL BELLAÏCHE and MLADEN DIMITROV Abstract We show that the …

We prove that the cuspidal eigencurve $\scr {C} _ {{\rm cusp}} $ is\'etale over the weight
space at any classical weight $1 $ Eisenstein point $ f $ and meets two Eisenstein …

The main purpose of this note is to provide an algorithm for approximating the value of the
balanced p-adic L-function, as constructed in [Hsi21], at the point (2, 1, 1), which is lying …

The main purpose of this thesis is to provide an algorithm for approximating the value of the
balanced p-adic L-function, as constructed in [Hsi21], at the point (2, 1, 1) which lies outside …

Let $ p $ be an odd prime. We study the structure of the cyclotomic Greenberg-Selmer group
attached to a general irreducible Artin motive over $\mathbb {Q} $ endowed with an ordinary …

We construct canonical adjoint $ p $-adic $ L $-functions generating the congruence ideal
attached to Hida families using Ohta's pairing. We show that these $ p $-adic $ L $-functions …

Ramification of the Eigencurve at Classical RM Points Page 1 http://dx.doi.org/. /CJM-- ©Canadian
Mathematical Society Ramification of the Eigencurve at Classical RM Points Adel Betina …

We develop a (largely conjectural) theory of p-adic L-functions interpolating square roots of
central L-values for automorphic forms on GSp (4) x GL (2) x GL (2), and a relation between …

The Jacquet-Langlands correspondence asserts that an automorphic representation of GL
(2) transfers to an automorphic representation of a quaternion algebra over Q if and only if its …