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 2019Show all

6 papers · 1 filter

math.NT2019★ 6 cited

A note on product sets of random sets

Carlo Sanna

Given two sets of positive integers $A$ and $B$ , let $A B := {ab : a \in A, b \in B}$ be their product set and put $A^{k} := A \dots A$ ( $k$ times $A$ ) for any positive integer $…

math.NT2019★ 7 cited

On the l.c.m. of random terms of binary recurrence sequences

Carlo Sanna

For every positive integer $n$ and every $δ \in [0, 1]$ , let $B (n, δ)$ denote the probabilistic model in which a random set $A \subseteq {1, \dots, n}$ is constructed by choosing i…

math.NT2019★ 4 cited

Directions sets: A generalization of ratio sets

Paolo Leonetti, Carlo Sanna

For every integer $k \geq 2$ and every $A \subseteq N$ , we define the \emph{ $k$ -directions sets} of $A$ as $D^{k} (A) := {a /∥ a ∥ : a \in A^{k}}$ and $D^{…

math.NT2019

Counting Egyptian fractions

Sandro Bettin, Loïc Grenié, Giuseppe Molteni +1

For any integer $N \geq 1$ , let $E_{N}$ be the set of all Egyptian fractions employing denominators less than or equal to $N$ . We give upper and lower bounds for the cardi…

math.NT2019★ 3 cited

Practical numbers among the binomial coefficients

Paolo Leonetti, Carlo Sanna

A "practical number" is a positive integer $n$ such that every positive integer less than $n$ can be written as a sum of distinct divisors of $n$ . We prove that most of the binomia…

math.NT2019★ 1 cited

On the number of distinct exponents in the prime factorization of an integer

Carlo Sanna

Let $f (n)$ be the number of distinct exponents in the prime factorization of the natural number $n$ . We prove some results about the distribution of $f (n)$ . In particular, for any…