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Experimental Mathematics Seminar

Searching for modular companions 

Shashank Kanade, University of Denver

Location:  Hill 705
Date & time: Thursday, 05 December 2019 at 5:00PM - 6:00PM

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!