Shane Chern

collaborators

2 papers

math.CO2026

Proof of the Andrews-El Bachraoui positivity conjecture

Shane Chern, Chun Wang

We prove that for $k \geq 1$ , all coefficients in the expansion of the series $n \geq 0 \sum \frac{( q ^{2 n + 2} , q ^{2 n + 2 k} ; q ^{2} ) _{\infty}}{( q ^{2 n + 1} ; q ^{2} ) _{\infty}^{2}} q^{2 n}$ are positive,…

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…