Geodesic
Square exponent of irrationality of $\ln 2$
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2012), pp. 25-30 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A new proof of the theorem on the non-quadraticity measure $\ln 2$ is given in the paper. 
@article{VMUMM_2012_1_a3,
     author = {A. A. Polyanskii},
     title = {Square exponent of irrationality of $\ln 2$},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {25--30},
     year = {2012},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2012_1_a3/}
}
TY  - JOUR
AU  - A. A. Polyanskii
TI  - Square exponent of irrationality of $\ln 2$
JO  - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY  - 2012
SP  - 25
EP  - 30
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/VMUMM_2012_1_a3/
LA  - ru
ID  - VMUMM_2012_1_a3
ER  - 
%0 Journal Article
%A A. A. Polyanskii
%T Square exponent of irrationality of $\ln 2$
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2012
%P 25-30
%N 1
%U http://geodesic.mathdoc.fr/item/VMUMM_2012_1_a3/
%G ru
%F VMUMM_2012_1_a3
A. A. Polyanskii. Square exponent of irrationality of $\ln 2$. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2012), pp. 25-30. http://geodesic.mathdoc.fr/item/VMUMM_2012_1_a3/

[1] Hata M., “$\mathbb{C}^2$-saddle method and Beukers` integral”, Trans. Amer. Math. Soc., 352:10 (2000), 4557–4583 | DOI | MR

[2] Marcovecchio R., “The Rhin–Viola method for $\log 2$”, Acta arithm., 139 (2009), 147–184 | DOI | MR

[3] Rhin G., Viola C., “On a permutation group related to $\zeta(2)$”, Acta arithm., 77 (1996), 23–56 | DOI | MR

[4] Rhin G., Viola.C., “The group structure for $\zeta(3)$”, Acta arithm., 97 (2001), 269–293 | DOI | MR

[5] Nesterenko Yu.V., “Nekotorye zamechaniya o $\zeta(3)$”, Matem. zametki, 59:6 (1996), 865–880 | DOI

[6] Nesterenko Yu.V., “O pokazatele irratsionalnosti chisla $\ln2$”, Matem. zametki, 88:4 (2010), 549–564 | DOI

[7] Uitekker E.T., Vatson Dzh.N., Kurs sovremennogo analiza, v. 2, Fizmatgiz, M., 1963