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arXiv · 2209.12768

The mixed mock modularity of a new $U$-type function related to the Andrews-Gordon identities

Nikolay Borozenets
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Abstract

In this paper we resolve a question by Bringmann, Lovejoy, and Rolen on a new vector-valued $U$-type function. We obtain an expression for a corresponding family of Hecke-Appell-type sums in terms of mixed mock modular forms; that is, we express the sum in terms of Appell functions and theta functions. This $U$-type function appears from considering the special polynomials related to generating functions for the partitions occurring in Gordon generalization of the Rogers-Ramanujan identities.

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Nikolay Borozenets. 2022-09-26. The mixed mock modularity of a new $U$-type function related to the Andrews-Gordon identities. https://doi.org/10.46298/hrj.2023.10911

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