Penn Arts & Sciences Logo

Analysis Seminar

Thursday, November 3, 2022 - 3:30pm

Alex Iosevich

University of Rochester


University of Pennsylvania



We are going to prove a result due to Iosevich, Mayeli, and Pakianathan which says that a subset of {\Bbb Z}_p^2p prime, has an orthogonal basis of characters if and only if this subset tiles {\Bbb Z}_p^2 by translation. The proof involves simple analytic, combinatorial, and number theoretic ideas that work together in somewhat unusual ways.