Lq Norms of Fekete and Related Polynomials

  title={Lq Norms of Fekete and Related Polynomials},
  author={Christian G{\"u}nther and Kai-Uwe Schmidt},
  journal={Canadian Journal of Mathematics},
  pages={807 - 825}
Abstract A Littlewood polynomial is a polynomial in $\mathbb{C}\left[ z \right]$ having all of its coefficients in $\{-1,1\}$ . There are various old unsolved problems, mostly due to Littlewood and Erdős, that ask for Littlewood polynomials that provide a good approximation to a function that is constant on the complex unit circle, and in particular have small ${{L}^{q}}$ normon the complex unit circle. We consider the Fekete polynomials $${{f}_{p}}(z)=\sum\limits_{j=1}^{p-1}{(j|p){{z}^{j… 

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