On Kahane's ultraflat polynomials

Abstract

This paper is devoted to the construction of polynomials of almost constant modulus on the unit circle, with coefficients of constant absolute value. In particular, one obtains a much improved estimate for the error term. A major part of this paper deals also with the long-standing problem of the effective construction of ultraflat polynomials.

Locations

• Journal of the European Mathematical Society - View - PDF