Approximating all meromorphic functions by linear motions of the Riemann zeta-function

DOI10.1007/BF03321841zbMath1264.30045MaRDI QIDQ1930679

Paul M. Gauthier

Publication date: 11 January 2013

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

zbMATH Keywords

approximation in the complex domainVoronin universalityapproximation by special functions

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by other special function classes (41A30) Zeta and (L)-functions: analytic theory (11M99) Universal Dirichlet series in one complex variable (30K10)

Cites Work

• Approximating functions by the Riemann zeta-function and by polynomials with zero constraints
• Approximation of and by the Riemann zeta-function
• Non-normal sequences of holomorphic functions and universality
• Value distribution of \(L\)-functions
• Lavrentiev's approximation theorem with nonvanishing polynomials and universality of zeta-functions