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Matematicheskie Zametki, 2018, Volume 103, Issue 4, Pages 582–591
DOI: https://doi.org/10.4213/mzm10218 (Mi mzm10218) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the Irrationality Measures of Certain Numbers. II

A. A. Poljanskijabc

a Lomonosov Moscow State University
b Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
c Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
Full-text PDF (502 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm10218
Abstract: For the irrationality measures of the numbers $\sqrt{2k-1}\,\operatorname{arctan}(\sqrt{2k-1}/(k-1))$, where $k$ is an even positive integer, upper bounds are presented.
Keywords: irrationality measure.
Funding agency Grant number
Russian Foundation for Basic Research 09-01-00743
This work was supported by the Russian Foundation for Basic Research under grant 09-01-00743.
Received: 19.06.2012
Revised: 13.06.2017
English version:
Mathematical Notes, 2018, Volume 103, Issue 4, Pages 626–634
DOI: https://doi.org/10.1134/S0001434618030306
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: A. A. Poljanskij, “On the Irrationality Measures of Certain Numbers. II”, Mat. Zametki, 103:4 (2018), 582–591; Math. Notes, 103:4 (2018), 626–634
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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