Florian Luca

activity

20172026

most citedLinear independence of powers of singular moduli of degree 3

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2026

Asymptotic formulas for sums of elements from a multiplicative group

Jan-Hendrik Evertse, Kálmán Győry, Lajos Hajdu +2

Let $K$ be a number field, $k \geq 2$ an integer, $(K^{*})^{k}$ the $k$ -fold direct product of $K^{*}$ with coordinatewise multiplication, and $Γ$ a finitely generated subgroup of rank $r…

math.NT2025

Poor man's transcendence for Frobenius traces of elliptic curves

Florian Luca, Wadim Zudilin

Let $E$ be an elliptic curve without complex multiplication defined over $Q$ . Viewing the sequence of its Frobenius traces $(a_{p} (E))_{p}$ indexed by primes $p$ as an element…

math.NT2025

Irrationality and transcendence questions in the "poor man's adèle ring"

Florian Luca, Wadim Zudilin

We discuss arithmetic questions related to the "poor man's adèle ring" $A$ whose elements are encoded by sequences $(t_{p})_{p}$ indexed by prime numbers, with each $t_{p}$ view…

math.NT2017★ 1 cited

Linear independence of powers of singular moduli of degree 3

Florian Luca, Antonin Riffaut

We show that two distinct singular moduli $j (τ), j (τ^{'})$ , such that for some positive integers $m, n$ the numbers $1, j (τ)^{m}$ and $j (τ^{'})^{n}$ are linearly dependent over $Q$ ge…