Emanuele Tron

collaborators

3 papers

math.NT2026

The moments of split greatest common divisors

Abhishek Jha, Ayan Nath, Emanuele Tron

Sequences of the form $(g cd (u_{n}, v_{n}))_{n \in N}$ , with $(u_{n})_{n}$ , $(v_{n})_{n}$ sums of $S$ -units, have been considered by several authors. The study of $g cd (n, u_{n})$ correspo…

math.NT2025

Effective multiplicative independence of 3 singular moduli

Yuri Bilu, Sanoli Gun, Emanuele Tron

Pila and Tsimerman proved in 2017 that for every $k$ there exists at most finitely many $k$ -tuples $(x_{1}, \dots, x_{k})$ of distinct non-zero singular moduli with the property "$x_1,…

math.NT2025

Distinct differences of singular moduli

Guy Fowler, Emanuele Tron

Let $E_{1}, E_{2} / C$ be non-isomorphic elliptic curves with complex multiplication. We prove that the pair $(E_{1}, E_{2})$ is characterised, up to isomorphism, by the differenc…