%0 Journal Article %A M. Yu. Luchin %A V. Kh. Salikhov %T Approximating $\ln 2$ by numbers in the field $\mathbb{Q}(\sqrt{2}\,)$ %J Izvestiya. Mathematics %D 2018 %P 549-577 %V 82 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/IM2_2018_82_3_a5/ %G en %F IM2_2018_82_3_a5