Antonio Lei

activity

20092026

most citedEuler systems for Rankin--Selberg convolutions of modular forms

88 citations · 416 across the 62 of their papers we have counts for

collaborators

Showing 2022Show all

8 papers · 1 filter

math.NT2022

On the BDP Iwasawa main conjecture for modular forms

Antonio Lei, Luochen Zhao

Let $K$ be an imaginary quadratic field where $p$ splits, $p \geq 5$ a prime number and $f$ an eigen-newform of even weight and level $N > 3$ that is coprime to $p$ . Under the Heegner…

math.NT2022

Anticyclotomic Iwasawa theory of abelian varieties of $GL_{2}$ -type at non-ordinary primes

Ashay Burungale, Kâzım Büyükboduk, Antonio Lei

Let $p \geq 5$ be a prime number, $E / Q$ an elliptic curve with good supersingular reduction at $p$ and $K$ an imaginary quadratic field such that the root number of $E$ over…

math.NT2022

Lambda-invariants of Mazur--Tate elements attached to Ramanujan's tau function and congruences with Eisenstein series

Anthony Doyon, Antonio Lei

Let $p \in {3, 5, 7}$ and let $Δ$ denote the weight twelve modular form arising from Ramanujan's tau function. We show that $Δ$ is congruent to an Eisenstein series $E_{k, χ, ψ}$ modu…

math.NT2022★ 1 cited

Studying Hilbert's 10th problem via explicit elliptic curves

Debanjana Kundu, Antonio Lei, Florian Sprung

N.García-Fritz and H.Pasten showed that Hilbert's 10th problem is unsolvable in the ring of integers of number fields of the form $Q (3 p, - q)$ for positive p…

math.CO2022★ 6 cited

On the distribution of Iwasawa invariants associated to multigraphs

Cédric Dion, Antonio Lei, Anwesh Ray +1

Let $ℓ$ be a prime number. The Iwasawa theory of multigraphs is the systematic study of growth patterns in the number of spanning trees in abelian $ℓ$ -towers of multigraphs.…

math.NT2022

Asymptotic formula for Tate-Shafarevich groups of $p$ -supersingular elliptic curves over anticyclotomic extensions

Antonio Lei, Meng Fai Lim, Katharina Müller

Let $p \geq 5$ be a prime number and $E / Q$ an elliptic curve with good supersingular reduction at $p$ . Under the generalized Heegner hypothesis, we investigate the $p$ -prima…

math.NT2022

Control theorems for fine Selmer groups, and duality of fine Selmer groups attached to modular forms

Jeffrey Hatley, Debanjana Kundu, Antonio Lei +1

Let $O$ be the ring of integers of a finite extension of $Q_{p}$ . We prove two control theorems for fine Selmer groups of general cofinitely generated modules over…

math.CO2022

The non- $ℓ$ -part of the number of spanning trees in abelian $ℓ$ -towers of multigraphs

Antonio Lei, Daniel Vallières

Let $ℓ$ and $p$ be two distinct primes. We study the $p$ -adic valuation of the number of spanning trees in an abelian $ℓ$ -tower of connected multigraphs. This is analogous to…

On the BDP Iwasawa main conjecture for modular forms

Anticyclotomic Iwasawa theory of abelian varieties of GL2​-type at non-ordinary primes

Lambda-invariants of Mazur--Tate elements attached to Ramanujan's tau function and congruences with Eisenstein series

Studying Hilbert's 10th problem via explicit elliptic curves

On the distribution of Iwasawa invariants associated to multigraphs

Asymptotic formula for Tate-Shafarevich groups of p-supersingular elliptic curves over anticyclotomic extensions

Control theorems for fine Selmer groups, and duality of fine Selmer groups attached to modular forms

The non-ℓ-part of the number of spanning trees in abelian ℓ-towers of multigraphs

Anticyclotomic Iwasawa theory of abelian varieties of $GL_{2}$ -type at non-ordinary primes

Asymptotic formula for Tate-Shafarevich groups of $p$ -supersingular elliptic curves over anticyclotomic extensions

The non- $ℓ$ -part of the number of spanning trees in abelian $ℓ$ -towers of multigraphs