Abstract
In this chapter we apply the limit theorem for the Riemann zeta-function in the space H(D 1) to obtain one of magnificent properties of this function — the universality property. Roughly speaking, this property asserts that any analytic function can be approximated uniformly on compact subsets of D l by translations of ζ(s).
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© 1996 Springer Science+Business Media Dordrecht
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Laurinčikas, A. (1996). Universality Theorem for the Riemann Zeta-Function. In: Limit Theorems for the Riemann Zeta-Function. Mathematics and Its Applications, vol 352. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2091-5_6
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DOI: https://doi.org/10.1007/978-94-017-2091-5_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4647-5
Online ISBN: 978-94-017-2091-5
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