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

hrj:10911 - Hardy-Ramanujan Journal, February 6, 2023, Volume 45 - 2022 - https://doi.org/10.46298/hrj.2023.10911
The mixed mock modularity of a new $U$-type function related to the Andrews-Gordon identitiesArticle

Authors: Nikolay Borozenets ORCID1

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’s generalization of the Rogers--Ramanujan identities.


Volume: Volume 45 - 2022
Published on: February 6, 2023
Imported on: February 6, 2023
Keywords: Appell functions,theta functions,indefinite theta series,Hecke-type double-sums,mock modular forms,11F11, 11F27, 11F37, 33D15,[MATH]Mathematics [math]

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