Polynomial interpolation and asymptotic representations for zeta functions

DOI10.4064/DM496-0-1zbMath1296.11108OpenAlexW2324245080MaRDI QIDQ5397511

Michael I. Ganzburg

Publication date: 21 February 2014

Published in: Dissertationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/dm496-0-1

zbMATH Keywords

Riemann zeta functionGegenbauer polynomialsHermite polynomialsBernoulli numbersEuler numberspolynomial interpolationDirichlet beta functionuniversal exponential sums

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) (zeta (s)) and (L(s, chi)) (11M06) Interpolation in approximation theory (41A05) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Real polynomials: analytic properties, etc. (26C05)

Related Items (6)

Bernstein-type constants for approximation of \(| x |^\alpha\) by partial Fourier-Legendre and Fourier-Chebyshev sums ⋮ Scaling Limits of Polynomials and Entire Functions of Exponential Type ⋮ Mean Convergence of Interpolation at Zeros of Airy Functions ⋮ Extremal polynomials and entire functions of exponential type ⋮ Asymptotic relations between interpolation differences and zeta functions ⋮ The Lerch transcendent from the point of view of Fourier analysis

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