2 problems

Let $P\in\wedge^{\ell}H^{(2n)}$, and let $I_M(P)$ be the integral indexed by $M$. Write $\rho_{+}(P)$ and $\rho_{-}(P)$ for the maps appearing in the residue formula, and suppose t…

Let $q$ be a parameter, and let $a_j$ and $n_j$ for $1\leq j\leq 8$ satisfy … with the additional constraint … Define … Let $t$ satisfy $t^2\prod_{j=1}^4a_j=q$, and define…