EHMM Calculator (implementation in progress)

by Michael Allen, Brian Grove, Ling Long, Esme Rosen and Fang-Ting Tu


As a team, we  designed and implemented an EHMM Calculator with several built in functions based on recent papers about the Explicit Hypergeometric-Modularity Method. We aimed at using it for both theoretic explorations and mentoring purposes.

  • Source Files (please download the following two files to your sagemath jupyter notebook)
  • constructor.py (the EHMM class file)

    EHMMv3.sage (some basic functions)

  • Demonstration
  • Decumentation (to be added)
  • Related papers
  • 1. The Explicit Hypergeometric-Modularity Method, by Michael Allen, Brian Grove, Ling Long, and Fang-Ting Tu, Part I, arxiv:2404.00711, Adv. in Math. 478 (2025), 110411.

    2. The Explicit Hypergeometric-Modularity Method, by Michael Allen, Brian Grove, Ling Long, and Fang-Ting Tu, Part II arxiv:2411.15116 (2024).

    3. L-values of certain weight 3 Modular Forms and Transformations of Hypergeometric Series, by Esme Rosen, arXiv:2412.07054(2024)

    4. Modular Forms and Certain $_2F_1(1)$ Hypergeometric Series, by Esme Rosen, arXiv:2502.08760(2025)

    5. On Some Hypergeometric Modularity Conjectures of Dawsey and McCarthy, by Brian Grove, arXiv:2507.19971(2025)

    6. 'Mixed' CM structures attached to certain hypergeometric representations, by Esme Rosen, [in preparation]

  • Slides
  • 1. Hypergeometric Functions and Modular Forms, by Ling Long presented at the Analysis Seminar organized by Mourad Ismail and Xiang-Sheng Wang, 9/19/2025


  • Provide Website Feedback
  • Accessibility Statement
  • Privacy Statement