2 problems

Let $(x_n)_{n\geq 1}$ be any sequence of distinct points on the circle $\mathbb T$. For each $n$, let $M_n^{(2)}$ and $m_n^{(2)}$ denote the quantities defined in the paper for two…

Let $T$ be the sequence generated by the $6$-GP-free process, and interpret a gap of size $O((\log x)^C)$ as the existence of a constant implicit in the big-$O$ bound, independent…