Publications

  • A new minimal excludant for overpartitions (with Aritram Dhar and Avi Mukhopadhyay), in preparation
  • New symmetries for overpartition rank and crank generating functions (with Frank Garvan), in preparation
  • Combinatorial interpretations of the two residual cranks of overpartitions (with Frank Garvan), in preparation
  • Bailey pairs, radial limits of q-hypergeometric false theta functions, and a conjecture of Hikami (with Jeremy Lovejoy), submitted, https://arxiv.org/abs/2402.11529
  • Transformation and symmetries for the Andrews-Garvan crank function, submitted, https://arxiv.org/abs/2301.10991
  • New symmetries for Dyson’s rank function (with Frank Garvan), Ramanujan Journal (2024),  https://doi.org/10.1007/s11139-023-00799-x
  • Solution to American Mathematical Monthly (AMM) Problem 12289 (An application of the Jacobi Triple Product), proposed by G.E. Andrews and M. Merca, https://doi.org/10.1080/00029890.2023.2231825
  • Generalization of the Extended Minimal Excludant of Andrews and Newman (with Aritram Dhar and Avi Mukhopadhyay), Journal of Integer Sequences, 26, Article No. 23.3.7 (2023)
  • On a Euler Ramanujan formula, Dirichlet series and minimal surfaces (with Rukmini Dey and Rahul Kumar Singh), Proc. Indian Acad. Sci. (Math. Sci.), 130, Article No. 61 (2020)