Shashank Kanade, University of Denver

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!