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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2020 Volume 107, Issue 3, Pages 366–375 (Mi mzm11652)

This article is cited in 1 paper

On the Irrationality Measure of $\ln7$

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

Bryansk State Technical University

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.

UDC: 511.36

Received: 23.04.2017
Revised: 04.05.2018

DOI: 10.4213/mzm11652


 English version:
Mathematical Notes, 2020, 107:3, 404–412

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© Steklov Math. Inst. of RAS, 2024