Department of Mathematics - Mathematics Colloquium - Norms of Polynomials with Restricted Coefficients
3:00pm - 4:00pm
Lecture Theatre K (near Lift 31 & 32)
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In this talk, we will explore polynomials with restricted coefficients, focusing particularly on Littlewood polynomials, which are defined as polynomials that have coefficients of either +1 or -1. We will discuss various problems and results related to the norms of these Littlewood polynomials. In addition, we will cover recent developments regarding the autocorrelations of Rudin-Shapiro polynomials and their generalizations. This topic is also closely related to the merit factor problem of finite binary sequences.