Corpus ID: 210966195

On $q$-series identities for false theta series

@inproceedings{JenningsShaffer2020OnI,
  title={On \$q\$-series identities for false theta series},
  author={Chris Jennings-Shaffer and Antun Milas},
  year={2020}
}
  • Chris Jennings-Shaffer, Antun Milas
  • Published 2020
  • Mathematics
  • We prove several infinite families of $q$-series identities for false theta and related series. These identities are motivated by considerations of characters of modules of vertex operator superalgebras and of quantum dilogarithms. We also obtain closely related modular identities of the G\"ollnitz-Gordon-Andrews type. As a byproduct of our identities, we establish several identities for the Rogers dilogarithm function coming from multi $q$-hypergeometric series with "double poles". 

    Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 45 REFERENCES

    Quantum Dilogarithm

    VIEW 4 EXCERPTS
    HIGHLY INFLUENTIAL

    Quantum modular forms and plumbing graphs of 3-manifolds

    VIEW 1 EXCERPT

    Higher depth quantum modular forms

    • K. Bringmann, J. Kaszian, A. Milas
    • multiple Eichler integrals, and sl3 false theta functions. Res. Math. Sci., 6(2):
    • 2019
    VIEW 1 EXCERPT

    N = 1 super-singlet vertex operator algebras PhD thesis

    • S. Sidoli
    • SUNY-Albany:
    • 2018
    VIEW 2 EXCERPTS