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On Kahane's ultraflat polynomials

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Publication:1024261
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DOI10.4171/JEMS/163zbMath1170.42001OpenAlexW2064819128MaRDI QIDQ1024261

Jean Bourgain, Enrico Bombieri

Publication date: 16 June 2009

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_pdf.php?issn=1435-9855&vol=11&iss=3&rank=8


zbMATH Keywords

exponential sumstrigonometric polynomialsprobabilistic methods


Mathematics Subject Classification ID

Trigonometric polynomials, inequalities, extremal problems (42A05)


Related Items (9)

On the distribution of Rudin-Shapiro polynomials and lacunary walks on \(\mathrm{SU}(2)\) ⋮ Some aspects and applications of the Riemann hypothesis over finite fields ⋮ Flat Littlewood polynomials exist ⋮ Recent Progress in the Study of Polynomials with Constrained Coefficients ⋮ Flatness of conjugate reciprocal unimodular polynomials ⋮ On the Sidon constant for Dirichlet polynomials ⋮ Optimal growth of entire functions frequently hypercyclic for the differentiation operator ⋮ Littlewood polynomials and applications of them in the spectral theory of dynamical systems ⋮ The asymptotic distance between an ultraflat unimodular polynomial and its conjugate reciprocal




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