Yifeng Huang

collaborators

3 papers

math.AG2025

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 $F_{q} [[T]] + T^{m} F_{q^{2}} [[T]]$ for every $m \geq 1$ in terms of a $2 m$ -fold mult…

math.AG2025

Motivic Coh and Quot zeta functions of singular curves

Yifeng Huang, Ruofan Jiang

We present a general and effective algebraic framework for enumerating finite-length quotients of a torsion-free sheaf of arbitrary rank (the Quot zeta function) and finite-length…

math.NT2025

Coh zeta functions for inert quadratic orders

Yifeng Huang

We study the Coh zeta function for a family of inert quadratic orders, which we conjecture to be given by $t$ -deformed Bressoud $q$ -series. This completes a trilogy connecting the…