4 citations · 13 across the 7 of their papers we have counts for
17 papers · 1 filter
Control theorems for fine Selmer groups, and duality of fine Selmer groups attached to modular forms
Jeffrey Hatley, Debanjana Kundu, Antonio Lei +1
Let be the ring of integers of a finite extension of . We prove two control theorems for fine Selmer groups of general cofinitely generated modules over…
On Certain Probabilistic Properties of Polynomials over the Ring of -adic Integers
Antonio Lei, Antoine Poulin
In this article, we study several probabilistic properties of polynomials defined over the ring of -adic integers under the Haar measure. First, we calculate the probability tha…
Congruences between Ramanujan's tau function and elliptic curves, and Mazur--Tate elements at additive primes
Anthony Doyon, Antonio Lei
We show that if is an elliptic curve with a rational -torsion for or , then there is a congruence relation between Ramanujan's tau function and modul…
On fine Selmer groups and the greatest common divisor of signed and chromatic -adic -functions
Antonio Lei, R. Sujatha
Let be an elliptic curve and an odd prime where has good supersingular reduction. Let denote the characteristic power series of the Pontryagin dual of…
On Selmer groups in the supersingular reduction case
Antonio Lei, R. Sujatha
Let be a fixed odd prime. Let be an elliptic curve defined over a number field with good supersingular reduction at all primes above . We study both the classical an…
On analogues of Mazur-Tate type conjectures in the Rankin-Selberg setting
Antonio Cauchi, Antonio Lei
We study the Fitting ideals over the finite layers of the cyclotomic -extension of of Selmer groups attached to the Rankin--Selberg convolution of two mo…