Ramanujan's "Lost Notebook" and the Virasoro Algebra

Partial theta functions. I. Beyond the lost notebook

It is shown how many of the partial theta function identities in Ramanujan's lost notebook can be generalized to infinite families of such identities. Key in our construction is the Bailey lemma and a new generalization of the Jacobi triple product identity. By computing residues around the poles of our identities we find a surprising connection between partial theta functions identities and Garret-Ismail-Stanton-type extensions of multisum Rogers-Ramanujan identities.

边界最小模型与罗杰斯-拉马努金恒等式

Boundary minimal models and the Rogers-Ramanujan identities

研究确定了Virasoro顶点代数的不可约模在经典自由条件下的情况，发现仅在边界最小模型中成立，并利用安德鲁斯-戈登推广的罗杰斯-拉马努金恒等式进行证明。