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MR1697455 (2000f:11125) 11N37 (11M26 11N56)
Dusart, Pierre Inégalités explicites pour $\psi(X)$, $\theta(X)$, $\pi(X)$ et les nombres premiers. (French) [Explicit inequalities for $\psi(X)$, $\theta(X)$, $\pi(X)$ and the primes] C. R. Math. Acad. Sci. Soc. R. Can. 21 (1999), no. 2, 53–59.
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