Geodesic
A~few remarks on $\zeta(3)$
Matematičeskie zametki, Tome 59 (1996) no. 6, pp. 865-880

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A new proof of the irrationality of the number $\zeta(3)$ is proposed. A new decomposition of this number into a continued fraction is found. Recurrence relations are proved for some sequences of Meyer's $G$-functions that define a sequence of rational approximations to $\zeta(3)$ at the point 1. 
@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/}
}
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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/