\(L^p\)-norms and Mahler's measure of polynomials on the \(n\)-dimensional torus

DOI10.1007/s00365-015-9319-xzbMath1359.11083arXiv1508.05556OpenAlexW2963606977WikidataQ59469249 ScholiaQ59469249MaRDI QIDQ530577

Andreas Defant, Mieczyslaw Mastylo

Publication date: 10 August 2016

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.05556

zbMATH Keywords

polynomialsMahler measureKhintchine-Kahane type inequality

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Polynomials in number theory (11C08) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items (4)

Optimal comparison of the \(p\)-norms of Dirichlet polynomials ⋮ Some polynomial versions of cotype and applications ⋮ Sharp growth of the Ornstein-Uhlenbeck operator on Gaussian tail spaces ⋮ Mini-workshop: Interplay between number theory and analysis for Dirichlet series. Abstracts from the mini-workshop held October 29 -- November 4, 2017

Cites Work

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