Emanuele Tron

activity

20142025

n

having a prescribed G.C.D. with the

n

th Fibonacci number

7 citations · 7 across the 6 of their papers we have counts for

collaborators

6 papers

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…

math.NT2024

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.NT2022

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.NT2017★ 7 cited

The density of numbers $n$ having a prescribed G.C.D. with the $n$ th Fibonacci number

Carlo Sanna, Emanuele Tron

For each positive integer $k$ , let $A_{k}$ be the set of all positive integers $n$ such that $g cd (n, F_{n}) = k$ , where $F_{n}$ denotes the $n$ th Fibonacci number. We prove th…

math.NT2014

The Distribution of Self-Fibonacci Divisors

Florian Luca, Emanuele Tron

Consider the positive integers $n$ such that $n$ divides the $n$ -th Fibonacci number, and their counting function $A$ . We prove that \[A(x) \leq x^{1-(1/2+o(1))\log\log\log x/\log\…

cs.CG2014

A Note on Rectangle Covering with Congruent Disks