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Seminar Details

Searching for Modular Companions

  • Start Date: December 5, 2019
  • Event Start Time: 5:00 PM
  • Event End Time: 6:00 PM
  • Seminar Series: Experimental Math Seminar
  • Presenter(s): Shashank Kanade - University of Denver
  • Event Location: Conference Room 705 | Rutgers University | Hill Center | 110 Frelinghuysen Rd
  • Presentation Type: Stand Alone Presentation
  • Abstract:

     

    In this talk, I will explain that there are (most likely) no other "modular" companions to certain mod-9 partition identities conjectured jointly with Matthew C. Russell. The experiments crucially hinge on Kursungoz's analytic sum-sides for these conjectures and a result of Vlasenko-Zwegers on analytic properties of such sum-sides. I'll have to let q be an actual number, but hopefully it will be fun!