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MR1861452 11J72 (11J91 11M06)
Zudilin, V. V. One of the numbers $\zeta(5)$, $\zeta(7)$, $\zeta(9)$, $\zeta(11)$ is irrational. (Russian) Uspekhi Mat. Nauk 56 (2001), no. 4(340), 149--150; translation in Russian Math. Surveys 56 (2001), no. 4, 774–776
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