On a problem of Bourgain concerning the Lp norms of exponential sums Academic Article uri icon


  • © 2014, Springer-Verlag Berlin Heidelberg. For (Formula presented.) that is, An is the collection of all sums of n distinct monomials. These polynomials are also called Newman polynomials. Let (Formula presented.) We define (Formula presented.) We show that (Formula presented.) The special case p = 1 recaptures a recent result of Aistleitner [1], the best known lower bound for Σ1.

author list (cited authors)

  • Choi, S., & Erdélyi, T.

citation count

  • 5

publication date

  • February 2015