C. Sanna

activity

20122023

most citedOn the p-adic denseness of the quotient set of a polynomial image

12 citations · 106 across the 43 of their papers we have counts for

collaborators

Showing 2017Show all

6 papers · 1 filter

math.NT2017★ 1 cited

A note on primes in certain residue classes

Paolo Leonetti, Carlo Sanna

Given positive integers $a_{1}, \dots, a_{k}$ , we prove that the set of primes $p$ such that $p \neq \equiv 1 mod a_{i}$ for $i = 1, \dots, k$ admits asymptotic density relative to the set…

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.NT2017★ 10 cited

On the greatest common divisor of $n$ and the $n$ th Fibonacci number

Paolo Leonetti, Carlo Sanna

Let $A$ be the set of all integers of the form $g cd (n, F_{n})$ , where $n$ is a positive integer and $F_{n}$ denotes the $n$ th Fibonacci number. We prove that $\#\left(\mathc…

math.NT2017★ 1 cited

A coprimality condition on consecutive values of polynomials

Carlo Sanna, Márton Szikszai

Let $f \in Z [X]$ be quadratic or cubic polynomial. We prove that there exists an integer $G_{f} \geq 2$ such that for every integer $k \geq G_{f}$ one can find infinitely many int…

math.NT2017★ 7 cited

On numbers $n$ relatively prime to the $n$ th term of a linear recurrence

Carlo Sanna

Let $(u_{n})_{n \geq 0}$ be a nondegenerate linear recurrence of integers, and let $A$ be the set of positive integers $n$ such that $u_{n}$ and $n$ are relatively prime. We…

math.NT2017★ 5 cited

Distribution of integral values for the ratio of two linear recurrences

Carlo Sanna

Let $F$ and $G$ be linear recurrences over a number field $K$ , and let $R$ be a finitely generated subring of $K$ . Furthermore, let $N$ be th…

A note on primes in certain residue classes

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

On the greatest common divisor of n and the nth Fibonacci number

A coprimality condition on consecutive values of polynomials

On numbers n relatively prime to the nth term of a linear recurrence

Distribution of integral values for the ratio of two linear recurrences

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

On the greatest common divisor of $n$ and the $n$ th Fibonacci number

On numbers $n$ relatively prime to the $n$ th term of a linear recurrence