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 2021Show all

6 papers · 1 filter

math.NT2021

A Survey on Coefficients of Cyclotomic Polynomials

Carlo Sanna

Cyclotomic polynomials play an important role in several areas of mathematics and their study has a very long history, which goes back at least to Gauss (1801). In particular, the…

math.NT2021

On the number of residues of linear recurrences

Carlo Sanna

For every nonconstant monic polynomial $g \in Z [X]$ , let $M (g)$ be the set of positive integers $m$ for which there exist an integer linear recurrence $(s_n)_{n…

math.NT2021

On the l.c.m. of shifted Lucas numbers

Carlo Sanna

Let $(L_{n})_{n \geq 1}$ be the sequence of Lucas numbers, defined recursively by $L_{1} := 1$ , $L_{2} := 3$ , and $L_{n + 2} := L_{n + 1} + L_{n}$ , for every integer $n \geq 1$ . We determi…

math.NT2021

Membership in random ratio sets

Carlo Sanna

Let $A$ be a random set constructed by picking independently each element of ${1, \dots, n}$ with probability $α \in (0, 1)$ . We give a formula for the probability that…

math.NT2021★ 1 cited

On the least common multiple of shifted powers

Carlo Sanna

Let $a \geq 2$ be an integer. We prove that for every periodic sequence $(s_{n})_{n \geq 1}$ in ${- 1, + 1}$ there exists an effectively computable rational number $C_{s} > 0$ …

math.NT2021★ 2 cited

Additive bases and Niven numbers

Carlo Sanna

Let $g \geq 2$ be an integer. A natural number is said to be a base- $g$ Niven number if it is divisible by the sum of its base- $g$ digits. Assuming Hooley's Riemann Hypothesis, we…