88 citations · 416 across the 62 of their papers we have counts for
6 papers · 1 filter
Arithmetic Statistics and noncommutative Iwasawa Theory
Debanjana Kundu, Antonio Lei, Anwesh Ray
Let be an odd prime. Associated to a pair consisting of a rational elliptic curve and a -adic Lie extension of $\mathbb{Q}…
On fine Selmer groups and signed Selmer groups of elliptic modular forms
Antonio Lei, Meng Fai Lim
Let be an elliptic modular form and an odd prime that is coprime to the level of . We study the link between divisors of the characteristic ideal of the -primary fine…
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…