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Matematicheskie Zametki, 2020, Volume 107, Issue 3, Pages 366–375
DOI: https://doi.org/10.4213/mzm11652 (Mi mzm11652) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the Irrationality Measure of $\ln7$

I. V. Bondareva, M. Yu. Luchin, V. Kh. Salikhov

Bryansk State Technical University
Full-text PDF (459 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm11652
Abstract: Using an integral construction based on symmetrized polynomials, we obtain a new estimate for the irrationality measure of the number $\ln7$. This estimate improves a result due to Wu, which was proved in 2002.
Keywords: irrationality measure, linear forms, Laplace theorem, saddle-point method.
Received: 23.04.2017
Revised: 04.05.2018
English version:
Mathematical Notes, 2020, Volume 107, Issue 3, Pages 404–412
DOI: https://doi.org/10.1134/S0001434620030049
Bibliographic databases:
Document Type: Article
UDC: 511.36
Language: Russian
Citation: I. V. Bondareva, M. Yu. Luchin, V. Kh. Salikhov, “On the Irrationality Measure of $\ln7$”, Mat. Zametki, 107:3 (2020), 366–375; Math. Notes, 107:3 (2020), 404–412
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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