Geodesic
Estimation of the measure of irrationality of the number $\ln{\frac{7}{4}}$
Čebyševskij sbornik, Tome 14 (2013) no. 2, pp. 123-131.

Voir la notice de l'article provenant de 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},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2013_14_2_a10/}
}
TY  - JOUR
AU  - M. Yu. Luchin
TI  - Estimation of the measure of irrationality of the number  $\ln{\frac{7}{4}}$
JO  - Čebyševskij sbornik
PY  - 2013
SP  - 123
EP  - 131
VL  - 14
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CHEB_2013_14_2_a10/
LA  - ru
ID  - CHEB_2013_14_2_a10
ER  - 
%0 Journal Article
%A M. Yu. Luchin
%T Estimation of the measure of irrationality of the number  $\ln{\frac{7}{4}}$
%J Čebyševskij sbornik
%D 2013
%P 123-131
%V 14
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CHEB_2013_14_2_a10/
%G ru
%F 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