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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 1, Pages 69–75
DOI: https://doi.org/10.26907/0021-3446-2019-1-69-75 (Mi ivm9431) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On irrationality measure $\mathrm{arctg}\, \frac {1}{3}$

V. Kh. Salikhov, M. G. Bashmakova

Bryansk State Technical University, 7 50-letiya Oktyabrya blvd., Bryansk, 241035 Russia
Full-text PDF (189 kB) Citations (5)
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DOI: https://doi.org/10.26907/0021-3446-2019-1-69-75
Abstract: We investigate the arithmetic properties of the value $\mathrm{arctg}\, \frac {1}{3}$. We elaborate special integral construction with the property of symmetry for evaluating irrationality measure of this number. We research linear form, generated by this integral, and prove a new result for extent of the irrationality of $\mathrm{arctg}\, \frac {1}{3}$, which improves the previous one.
Keywords: irrationality measure, linear form.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00296_а
Supported by Russian Found of Fundamental Research, grant No. 18-01-00296A.
Received: 20.11.2017
Revised: 20.11.2017
Accepted: 22.03.2018
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 1, Pages 61–66
DOI: https://doi.org/10.3103/S1066369X19010079
Bibliographic databases:
Document Type: Article
UDC: 511.36
Language: Russian
Citation: V. Kh. Salikhov, M. G. Bashmakova, “On irrationality measure $\mathrm{arctg}\, \frac {1}{3}$”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 1, 69–75; Russian Math. (Iz. VUZ), 63:1 (2019), 61–66
Citation in format AMSBIB
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\jour Izv. Vyssh. Uchebn. Zaved. Mat.
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\issue 1
\pages 69--75
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\issue 1
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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