Arithmetic progressions in sumsets of geometric progressions

Michael Bennett (University of British Columbia)

09-Apr-2024, 20:30-21:30 (20 months ago)

Abstract: If A and B are two geometric progressions, we characterize all 3-term arithmetic progressions in the sumset A+B. Somewhat surprisingly, while mostly elementary, this appears to require quite deep machinery from Diophantine Approximation.

number theory

Audience: advanced learners


BC-MIT number theory seminar

Organizers: Sol Friedberg*, Benjamin Howard, Dubi Kelmer, Spencer Leslie, Keerthi Madapusi Pera, Bjorn Poonen*, Andrew Sutherland*, Wei Zhang*
*contact for this listing

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