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Matematicheskie Zametki, 2014, Volume 96, Issue 6, Pages 905–910
DOI: https://doi.org/10.4213/mzm10562 (Mi mzm10562) 		 
This article is cited in 19 scientific papers (total in 19 papers)

Sharpening of the Universality Inequality

A. Laurinčikas, L. Meška

Vilnius University
Full-text PDF (435 kB) Citations (19)
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DOI: https://doi.org/10.4213/mzm10562
Abstract: The universality theorem asserts that the lower density of any set of shifts of the Riemann zeta-function which approximate a given analytic function with accuracy $\varepsilon>0$ is strictly positive. It is proved that this set has strictly positive density for all but at most countably many $\varepsilon>0$.
Keywords: universality theorem, universality inequality, Riemann zeta-function, approximation of analytic functions.
Received: 09.07.2013
English version:
Mathematical Notes, 2014, Volume 96, Issue 6, Pages 971–976
DOI: https://doi.org/10.1134/S0001434614110352
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: A. Laurinčikas, L. Meška, “Sharpening of the Universality Inequality”, Mat. Zametki, 96:6 (2014), 905–910; Math. Notes, 96:6 (2014), 971–976
Citation in format AMSBIB
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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