2 papers
math.NT2026
Oscillations of random multiplicative functions under initial bias
Rodrigo Angelo, Max Wenqiang Xu
We prove that if is a random completely multiplicative function, conditional for each prime , the probability that $\sum_{1\le n \le N}f(n)\ge 0…
math.NT2024
A polynomial with a root mod for every has a real root
Rodrigo Angelo, Max Wenqiang Xu
We prove that if a polynomial has a root mod for every large prime , then it has a real root. As an application, we show that the primes can't be covered by finitely many po…