New interactions between Analysis and Number Theory

New interactions between Analysis and Number Theory

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Stefan Steinerberger , Yale University
Fine Hall 601

I will discuss two new (unrelated) phenomena. (1) Taking maximal averages of functions has connections to transcendental number theory and (2) the Ulam sequence (1,2,3,4,6,8,11,...) defined via additive combinatorics has very strange distribution behavior when multiplied with 2.571....