Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2009), pp. 28-35
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Yu. V. Nesterenko. An elementary proof of the irrationality of $\zeta(3)$. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2009), pp. 28-35. http://geodesic.mathdoc.fr/item/VMUMM_2009_4_a4/
@article{VMUMM_2009_4_a4,
author = {Yu. V. Nesterenko},
title = {An elementary proof of the irrationality of $\zeta(3)$},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {28--35},
year = {2009},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2009_4_a4/}
}
TY - JOUR
AU - Yu. V. Nesterenko
TI - An elementary proof of the irrationality of $\zeta(3)$
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 2009
SP - 28
EP - 35
IS - 4
UR - http://geodesic.mathdoc.fr/item/VMUMM_2009_4_a4/
LA - ru
ID - VMUMM_2009_4_a4
ER -
%0 Journal Article
%A Yu. V. Nesterenko
%T An elementary proof of the irrationality of $\zeta(3)$
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2009
%P 28-35
%N 4
%U http://geodesic.mathdoc.fr/item/VMUMM_2009_4_a4/
%G ru
%F VMUMM_2009_4_a4
An elementary proof of the irrationality of $\zeta(3)$ is presented. The proof is based on a two times more dense sequence of diophantine approximations to this number than the sequence in the original proof of Apery.
