# Generalized Andrews-Gordon Identities

@article{Larson2015GeneralizedAI, title={Generalized Andrews-Gordon Identities}, author={Hannah K. Larson}, journal={arXiv: Number Theory}, year={2015} }

In a recent paper, Griffin, Ono and Warnaar present a framework for Rogers-Ramanujan type identities using Hall-Littlewood polynomials to arrive at expressions of the form \[\sum_{\lambda : \lambda_1 \leq m} q^{a|\lambda|}P_{2\lambda}(1,q,q^2,\ldots ; q^{n}) = \text{"Infinite product modular function"}\] for $a = 1,2$ and any positive integers $m$ and $n$. A recent paper of Rains and Warnaar presents further Rogers-Ramanujan type identities involving sums of terms $q^{|\lambda|/2}P_{\lambda}(1…

## One Citation

### A family of vector-valued quantum modular forms of depth two

- MathematicsInternational Journal of Number Theory
- 2019

We introduce and investigate an infinite family of functions which are shown to have generalized quantum modular properties. We realize their “companions” in the lower half plane both as double…

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