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Texas A&M Number Theory Seminar

Department of Mathematics
Blocker 220
Wednesdays, 1:45–2:45 PM

Brad Rodgers

University of Michigan

Wednesday, November 29, 2017

Blocker 220, 1:45PM

Title: On the distribution of Rudin-Shapiro polynomials

Abstract: Rudin-Shapiro polynomials are a special sequence of trigonometric polynomials with all coefficients equal to 1 or -1 which do not become too large. In this talk I will discuss conjectures of B. Saffari and H. Montgomery regarding the distribution of these polynomials, and outline how these conjectures were resolved by making use of an analogy to random walks on compact groups. Prerequisites will be kept to a minimum.