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Computational Methods and Function Theory 8 (2008), No. 1, 15--19
Copyright Heldermann Verlag 2008

Approximation by Translates of Taylor Polynomials of the Riemann Zeta Function

Paul M. Gauthier
gauthier@dms.umontreal.ca , Université de Montréal, Mathématiques et Statistique, CP-6128 Centre Ville, H3C3J7 Montréal, Canada.

Raphaël Clouâtre
clouatre@dms.umontreal.ca , Université de Montréal, Mathématiques et Statistique, CP-6128 Centre Ville, H3C3J7 Montréal, Canada.

[Abstract-pdf] [Abstract-ps]

Every function holomorphic on a compact subset of the complex plane having connected complement can be approximated by translates of Taylor polynomials of the Riemann zeta function.

Keywords: Riemann zeta function, universality.

MSC 2000: Primary 30E10; Secondary 30B10, 11M06.

[FullText-pdf (200 K)] [FullText-ps (342 K)]