Lavrentiev's approximation theorem with nonvanishing polynomials and universality of zeta-functions

zbMath1250.11079arXiv1010.0386MaRDI QIDQ3582049

J. Andersson

Publication date: 2 September 2010

Full work available at URL: https://arxiv.org/abs/1010.0386

zbMATH Keywords

Mergelyan's theoremuniversality of zeta-functionsLavrentiev's approximation theorem

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Approximation in the complex plane (30E10)

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Uniform approximation in the spherical distance by functions meromorphic on Riemann surfaces ⋮ Approximating all meromorphic functions by linear motions of the Riemann zeta-function ⋮ An atlas for all plane curves ⋮ Spirals of Riemann’s Zeta-Function — Curvature, Denseness and Universality ⋮ Approximating functions by the Riemann zeta-function and by polynomials with zero constraints ⋮ Non-universality of the Riemann zeta function and its derivatives when \(\sigma \geq 1\)

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