2 problems

Additive-complexity regularity conjecture. The sequence $(\rho^+_{\mathbf{w}}(n))_{n\geq 1}$ is $k$-regular.

Let $k\geq 2$ be an integer, and let $(a_n)_{n\geq 0}$ be a $k$-regular sequence of positive integers, meaning that its $k$-kernel … is contained in a finitely generated module. Wr…