# Aspects of Analytic Number Theory : The Universality of the Riemann Zeta-Function

@inproceedings{Steuding2009AspectsOA, title={Aspects of Analytic Number Theory : The Universality of the Riemann Zeta-Function}, author={J. Steuding}, year={2009} }

Abstract. These notes deal with Voronin’s universality theorem which states, roughly speaking, that any non-vanishing analytic function can be uniformly approximated by certain shifts of the Riemann zeta-function. We start with a brief introduction to the classical theory of the zeta-function. Then we give a self-contained proof of the universality theorem. We conclude with several interesting applications of this remarkable property and discuss some related problems and extensions.

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