Rodrigo Angelo

activity

20172024

most citedA Cameron and Erdös conjecture on counting primitive sets

1 citations · 3 across the 4 of their papers we have counts for

collaborators

Showing 2022 · math.NTShow all

3 papers · 2 filters

math.NT2022

A polynomial with a root mod $p$ for every $p$ has a real root

Rodrigo Angelo, Max Wenqiang Xu

We prove that if a polynomial has a root mod $p$ for every large prime $p$ , then it has a real root. As an application, we show that the primes can't be covered by finitely many po…

math.NT2022★ 1 cited

A hidden signal in Hofstadter's $H$ sequence

Rodrigo Angelo

The Hofstadter $H$ sequence is defined by $H (1) = 1$ and $H (n) = n - H (H (H (n - 1)))$ for $n > 1$ . If $α$ is the real root of $x^{3} + x = 1$ we show that the numbers $α H (n) mod 1$ are not u…

math.NT2022★ 1 cited

On a Turán conjecture and random multiplicative functions

Rodrigo Angelo, Max Wenqiang Xu

We show that if $f$ is the random completely multiplicative function, the probability that $\sum_{n \leq x} \frac{f ( n )}{n}$ is positive for every $x$ is at least $1 - 1 0^{- 45}$ , while a…

A polynomial with a root mod p for every p has a real root

A hidden signal in Hofstadter's H sequence

On a Turán conjecture and random multiplicative functions

A polynomial with a root mod $p$ for every $p$ has a real root

A hidden signal in Hofstadter's $H$ sequence