Orthogonal Dirichlet polynomials with arctangent density

DOI10.1016/J.JAT.2013.10.001zbMath1480.42038OpenAlexW2133850828MaRDI QIDQ2238037

Doron S. Lubinsky

Publication date: 29 October 2021

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2013.10.001

zbMATH Keywords

orthogonal polynomialsDirichlet polynomials

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Dirichlet series, exponential series and other series in one complex variable (30B50)

Related Items (7)

An update on local universality limits for correlation functions generated by unitary ensembles ⋮ Uniform mean value estimates and discrete Hilbert inequalities via orthogonal Dirichlet series ⋮ Cauchy means of Dirichlet polynomials ⋮ Zeros of Dirichlet polynomials via a density criterion ⋮ Orthogonal Dirichlet polynomials ⋮ Dirichlet orthogonal polynomials with Laguerre weight ⋮ Orthogonal Dirichlet polynomials with constant weight

Cites Work

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• Géza Freud, orthogonal polynomials and Christoffel functions. A case study
• Dirichlet polynomials: some old and recent results, and their interplay in number theory

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