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 2022Show all

5 papers · 1 filter

math.NT2022

On the index of appearance of a Lucas sequence

Carlo Sanna

Let $u = (u_{n})_{n \geq 0}$ be a Lucas sequence, that is, a sequence of integers satisfying $u_{0} = 0$ , $u_{1} = 1$ , and $u_{n} = a_{1} u_{n - 1} + a_{2} u_{n - 2}$ for every intege…

math.NT2022

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

Abhishek Jha, 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. Leonetti and Sanna proved tha…

math.NT2022★ 1 cited

Greatest common divisors of shifted primes and Fibonacci numbers

Abhishek Jha, Carlo Sanna

Let $(F_{n})$ be the sequence of Fibonacci numbers and, for each positive integer $k$ , let $P_{k}$ be the set of primes $p$ such that $g cd (p - 1, F_{p - 1}) = k$ . We prove t…

math.NT2022

Zeckendorf representation of multiplicative inverses modulo a Fibonacci number

Gessica Alecci, Nadir Murru, Carlo Sanna

Prempreesuk, Noppakaew, and Pongsriiam determined the Zeckendorf representation of the multiplicative inverse of $2$ modulo $F_{n}$ , for every positive integer $n$ not divisible by $…

math.NT2022

RLWE and PLWE over cyclotomic fields are not equivalent

Antonio J. Di Scala, Carlo Sanna, Edoardo Signorini

We prove that the Ring Learning With Errors (RLWE) and the Polynomial Learning With Errors (PLWE) problems over the cyclotomic field $Q (ζ_{n})$ are not equivalent. Precisely…

On the index of appearance of a Lucas sequence

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

Greatest common divisors of shifted primes and Fibonacci numbers

Zeckendorf representation of multiplicative inverses modulo a Fibonacci number

RLWE and PLWE over cyclotomic fields are not equivalent

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