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

abstract

• 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 1.

authors

• Erdelyi, Tamas

published proceedings

• MATHEMATISCHE ZEITSCHRIFT

author list (cited authors)

• Choi, S., & Erdelyi, T.

citation count

• 5

complete list of authors

• Choi, Stephen||Erdelyi, Tamas

publication date

• February 2015

publisher

• Springer Nature  Publisher

published in

• Mathematische Zeitschrift  Journal

keywords

• Bourgain's Problem
• Constrained Coefficients
• L (p) Norms
• Littlewood Polynomials
• Newman Polynomials
• Sums Of Monomials

Digital Object Identifier (DOI)

• 10.1007/s00209-014-1382-7

start page

• 577

end page

• 584

volume

• 279

issue

• 1-2

URL

• http%3A%2F%2Fdx.doi.org%2F10.1007%2Fs00209-014-1382-7