On Kahane's ultraflat polynomials

• Autores: Enrico Bombieri, Jean Bourgain
• Localización: Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 11, Nº 3, 2009, págs. 627-703
• Idioma: inglés
• DOI: 10.4171/jems/163
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• Resumen

  • 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.