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Seminar Details

On a Problem of Littlewood : Counting Zeros of Cosine Polynomials

  • Start Date: September 17, 2018
  • Event Start Time: 2:00 PM
  • Event End Time: 3:00 PM
  • Seminar Series: Rutgers Discrete Mathematics Seminar
  • Presenter(s): Julian Sahasrabudhe - University of Cambridge
  • Event Location: Hill Center-Room 705
  • Presentation Type: Stand Alone Presentation
  • Abstract:

    While every (nice enough) even function f : [−π, π] → C may be uniquely expressed as a cosine series f(θ) = X r∈Z Cr cos(rθ), the relationship between the sequence of coefficients (Cr)r∈Z and the behavior of the function f remains mysterious in many aspects. We discuss a solution to a problem of J.E. Littlewood about the behavior of the zeros of cosine polynomials with coefficients Cr ∈ {0, 1}.