Florian Luca

collaborators

3 papers

math.NT2026

Asymptotic formulas for sums of elements from a multiplicative group

Jan-Hendrik Evertse, KÃ¡lmÃ¡n GyÅry, 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 $I^$ a finitely generated subgroup of rank $…

math.NT2026

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 adÃ¨le ring"

Florian Luca, Wadim Zudilin

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