2 problems

Let $g\geq 0$, let $q,r\geq 1$, and let $\mu=(\mu_1,\ldots,\mu_n)$ be a partition with $n=\ell(\mu)$ and $|\mu|=\sum_{i=1}^n\mu_i$ divisible by $q$. Assume that…

On the small phase space, write $\langle\tau_{m_1}\cdots\tau_{m_s}\rangle$ for the corresponding $r$-spin correlation number. The conjectured properties concern integers…