Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika

An elementary proof of the irrationality of \zeta(3) / Yu. V. Nesterenko. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. ? 4. P. 28-35 [Moscow Univ. Math. Bulletin. Vol. 64, N 4, 2009. P. 165-171].

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.

Key words: irrationality, zeta-values, recurrence.

? 4/2009

$General information on the journal$	$Editorial Board$	$History of the journal$	$HOME$
$Contents (1997-2001)$	$How to submit a manuscript?$		$HOME$