Carlo Sanna

collaborators

3 papers

math.NT2026

Another factor of integer polynomials with minimal integrals

Alice Bazzanella, Carlo Sanna

Let $N$ be a positive integer and let $S_{N}$ be the set of polynomials with integer coefficients, degree less than $N$ , and minimal positive integral over $[0, 1]$ . D. Bazzanella ini…

math.NT2026

Explicit inequalities for the nth lucky number

Carlo Sanna

Gardiner, Lazarus, Metropolis, and Ulam introduced a variation of the sieve of Eratosthenes that (instead of producing the sequence of prime numbers) produces the sequence of "luck…

math.NT2025

A lower bound for the number of Egyptian fractions

Sandro Bettin, Loïc Grenié, Giuseppe Molteni +1

An Egyptian fraction is a sum of the form $1/ n_{1} + \dots + 1/ n_{r}$ where $n_{1}, \dots, n_{k}$ are distinct positive integers. We prove explicit lower bounds for the cardinality of the…