Multiple Rogers-Ramanujan type identities for inert quadratic orders

Shane Chern, Yifeng Huang

We compute the Quot and finitized Coh zeta functions of the inert quadratic orders ${\mathbb{F}}_q[[T]]+T^m{\mathbb{F}}_{q^2}[[T]]$ for every $m\ge 1$ in terms of a $2m$-fold mult…