Dao-Dao Yang

Dynamical Chowla conjecture for polynomials of several variables

In 1965, Chowla conjectured that the mean value of the Liouville function at non-square one-variable polynomials is zero. This conjecture is a generalization of the prime number theorem (PNT). In 2022, Bergelson and Richter established a dynamical generalization of this form of the PNT. For non-square multivariate poly...