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Matematicheskie Zametki, 2010, Volume 88, Issue 4, Pages 583–593
DOI: https://doi.org/10.4213/mzm8688 (Mi mzm8688) 		 
This article is cited in 11 scientific papers (total in 11 papers)

On the Measure of Irrationality of the Number $\pi$

V. Kh. Salikhov

Bryansk State Technical University
Full-text PDF (493 kB) Citations (11)
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DOI: https://doi.org/10.4213/mzm8688
Abstract: A new estimate of the measure of irrationality of the number $\pi$ is obtained. The previous result (M. Hata, 1993) is improved by means of another integral construction.
Keywords: measure of irrationality, approximation by rational fractions, partial-fraction expansion, Leibniz formula, linear form.
Received: 25.11.2009
English version:
Mathematical Notes, 2010, Volume 88, Issue 4, Pages 563–573
DOI: https://doi.org/10.1134/S0001434610090294
Bibliographic databases:
Document Type: Article
UDC: 511.36
Language: Russian
Citation: V. Kh. Salikhov, “On the Measure of Irrationality of the Number $\pi$”, Mat. Zametki, 88:4 (2010), 583–593; Math. Notes, 88:4 (2010), 563–573
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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