More Like this

1. Quantum Jacobi forms and sums of tails identities

   https://doi.org/10.1007/s40993-021-00304-7  

   Folsom, Amanda; Pratt, Elizabeth; Solomon, Noah; Tawfeek, Andrew R. (January 2022, Research in number theory)
2. Quantum Jacobi forms in number theory, topology, and mathematical physics

   https://doi.org/10.1007/s40687-019-0188-y  

   Folsom, Amanda (September 2019, Research in the Mathematical Sciences)
3. Attractive strings and five-branes, skew-holomorphic Jacobi forms and moonshine

   https://doi.org/10.1007/JHEP07(2018)130  

   Cheng, Miranda C.; Duncan, John F.; Harrison, Sarah M.; Harvey, Jeffrey A.; Kachru, Shamit; Rayhaun, Brandon C. (July 2018, Journal of High Energy Physics)
4. Periodic partial theta functions and q-hypergeometric knot multisums as quantum Jacobi forms

   https://doi.org/10.1016/j.jmaa.2023.127727  

   Folsom, Amanda (February 2024, Journal of Mathematical Analysis and Applications)

   We prove that general two-variable partial theta functions with periodic coefficients are quantum Jacobi forms, and establish their explicit transformation and analytic properties. As applications, we also prove that seven infinite families of q-hypergeometric multisums and related partial theta functions of interest arising from certain knot colored Jones polynomials, Kashaev invariants for torus knots and Virasoro characters, and “strange” identities, appearing in (separate) works of Bijaoui et al., Hikami, Hikami-Kirillov, Lovejoy, and Zagier are quantum Jacobi forms. 

   more » « less
5. Fast structured Jacobi-Jacobi transforms

   https://doi.org/10.1090/mcom/3377  

   Shen, Jie; Wang, Yingwei; Xia, Jianlin (July 2019, Mathematics of Computation)