Uniform mean value estimates and discrete Hilbert inequalities via orthogonal Dirichlet series

DOI10.1007/S10474-014-0411-7zbMath1340.11072OpenAlexW1983054620MaRDI QIDQ397045

Doron S. Lubinsky

Publication date: 14 August 2014

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-014-0411-7

zbMATH Keywords

zeta functionDirichlet seriesmean valueorthogonal polynomialDirichlet polynomial

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Trigonometric and exponential sums (general theory) (11L03) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (3)

Cauchy means of Dirichlet polynomials ⋮ Orthogonal Dirichlet polynomials ⋮ Orthogonal Dirichlet polynomials with constant weight

Cites Work

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• Mean value estimates related to the Lindelöf hypothesis
• On Lindelöf's conjecture concerning the Riemann zeta-function
• Lectures on the mean-value and Omega-theorems for the Riemann Zeta-function
• Recent developments of Hilbert-type discrete and integral inequalities with applications
• Orthogonal Dirichlet polynomials with arctangent density
• Gaussian subordination for the Beurling-Selberg extremal problem
• Dirichlet polynomials: some old and recent results, and their interplay in number theory
• Mean values of Dirichlet polynomials and applications to linear equations with prime variables
• Mean‐values of the Riemann zeta‐function
• On mean values of Dirichlet polynomials

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