Voir la notice de l'article provenant de la source Math-Net.Ru
@article{MZM_1996_59_6_a6, author = {Yu. V. Nesterenko}, title = {A~few remarks on $\zeta(3)$}, journal = {Matemati\v{c}eskie zametki}, pages = {865--880}, publisher = {mathdoc}, volume = {59}, number = {6}, year = {1996}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_1996_59_6_a6/} }
Yu. V. Nesterenko. A~few remarks on $\zeta(3)$. Matematičeskie zametki, Tome 59 (1996) no. 6, pp. 865-880. http://geodesic.mathdoc.fr/item/MZM_1996_59_6_a6/
[1] Apery R., “Irrationalite de $\zeta(2)$ et $\zeta(3)$”, Asterisque, 61 (1979), 11–13 | Zbl
[2] Cohen H., “Demonstration de l'irrationalite de $\zeta(3)$ (d'apres R. Apery)”, Semin. de theorie des nombres, Grenoble, 1978
[3] van der Poorten A., “A proof that Euler missed – Apery's proof of the irrationality of $\zeta(3)$”, Math. Intell., 1 (1979), 195–203 | DOI | Zbl
[4] Reyssat E., “Irrationalite de $\zeta(3)$, selon Apery”, Sem. Delange–Pisot–Poitou, 20 annee, 1978/79, 6
[5] Beukers F., “A note on the irrationality of $\zeta(2)$ and $\zeta(3)$”, Bull. London Math. Soc., 11 (1979), 268–272 | DOI | MR | Zbl
[6] Hata M., “On the linear independence of the values of polylogarithmic functions”, J. Math. pures et appl., 69 (1990), 133–173 | MR | Zbl
[7] Gutnik L. A., “Ob irratsionalnosti nekotorykh velichin, soderzhaschikh $\zeta(3)$”, UMN, 34:3 (1979), 190 ; Acta Arith., 42:3 (1983), 255–264 | MR | Zbl | MR
[8] Lyuk Yu., Spetsialnye matematicheskie funktsii i ikh approksimatsii, Mir, M., 1980
[9] Beukers F., “Pade approximations in number theory”, Lecture Notes in Math., 888, Springer, New York–Berlin, 1981, 90–99 | MR
[10] Sorokin V. N., “Approksimatsii Ermita–Pade dlya sistem Nikishina i irratsionalnost $\zeta(3)$”, UMN, 49:2 (1994), 167–168 | MR | Zbl
[11] Dzhouns U., Tron V., Nepreryvnye drobi, Mir, M., 1985
[12] Gelfond A. O., Ischislenie konechnykh raznostei, Nauka, M., 1967