Approximation of and by the Riemann zeta-function

DOI10.1007/BF03321783zbMath1284.11122MaRDI QIDQ619448

Paul M. Gauthier

Publication date: 25 January 2011

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

zbMATH Keywords

Riemann zeta-functionRiemann hypothesisuniversal entire functionsapproximation by translates of the Riemann zeta-functionapproximation of zeta-function

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Zeta and (L)-functions: analytic theory (11M99) Universal holomorphic functions of one complex variable (30K99)

Related Items (8)

Approximating all meromorphic functions by linear motions of the Riemann zeta-function ⋮ Approximating functions by the Riemann zeta-function and by polynomials with zero constraints ⋮ On the instability of the Riemann hypothesis for varieties over finite fields ⋮ Meromorphic functions with slow growth of Nevanlinna characteristics and rapid growth of spherical derivative ⋮ Mergelyan’s theorem with polynomials non-vanishing on unions of sets ⋮ On the instability of the Riemann hypothesis for curves over finite fields ⋮ Approximating the Riemann Zeta-function by Polynomials with Restricted Zeros ⋮ On the zero-free polynomial approximation problem

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