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PreprintCC BY 4.0arXiv

Partition statistics and universal mixed mock modular forms

  • Koustav Banerjee
  • Kathrin Bringmann
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Abstract

In this note, we construct combinatorial statistics in terms of partitions, overpartitions, and two-color partitions and relate the corresponding generating functions to the universal mock theta functions. Our framework primarily builds on two q-series identities of Fine.

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Cite

BibTeXRIS
BibTeX
@misc{banerjee2026partition,
  title = {{Partition statistics and universal mixed mock modular forms}},
  author = {Koustav Banerjee and Kathrin Bringmann},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.00728},
  eprint = {2611.00728},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.00728},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Partition statistics and universal mixed mock modular forms
AU  - Koustav Banerjee
AU  - Kathrin Bringmann
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.00728
UR  - https://arxiv.org/abs/2611.00728
AB  - In this note, we construct combinatorial statistics in terms of partitions, overpartitions, and two-color partitions and relate the corresponding generating functions to the universal mock theta functions. Our framework primarily builds on two q-series identities of Fine.
ER  -