Estimation of the measure of irrationality of the number $\ln{\frac{7}{4}}$
Čebyševskij sbornik, Tome 14 (2013) no. 2, pp. 123-131
Cet article a éte moissonné depuis la source Math-Net.Ru
@article{CHEB_2013_14_2_a10,
author = {M. Yu. Luchin},
title = {Estimation of the measure of irrationality of the number $\ln{\frac{7}{4}}$},
journal = {\v{C}eby\v{s}evskij sbornik},
pages = {123--131},
year = {2013},
volume = {14},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/CHEB_2013_14_2_a10/}
}
M. Yu. Luchin. Estimation of the measure of irrationality of the number $\ln{\frac{7}{4}}$. Čebyševskij sbornik, Tome 14 (2013) no. 2, pp. 123-131. http://geodesic.mathdoc.fr/item/CHEB_2013_14_2_a10/
[1] Wu Q., “On the linear independence measure of logarithms of rational numbers”, Math. Comput., 72:242 (2002), 901–911 | DOI | MR
[2] Zolotukhina E. S., Diofantovy priblizheniya nekotorykh logarifmov, dis. \ldots kand. fiz.-mat. nauk, Bryansk, 2009, 100 pp.
[3] Salikhov V. Kh., “O mere irratsionalnosti $\log3$”, Doklady RAN, 417:6 (2007), 753–755 | Zbl
[4] Salikhov V. Kh., “O mere irratsionalnosti chisla $\pi$”, Matematicheskie zametki, 88:4 (2010), 583–593 | DOI | MR | Zbl
[5] Hata M., “Rational approximations to $\pi$ and some other numbers”, Acta Arith., 63:4 (1993), 335–349 | MR | Zbl