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Mathematics of Computation

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Estimates for the Chebyshev function $\psi (x)-\theta (x)$

Author: N. Costa Pereira
Journal: Math. Comp. 44 (1985), 211-221
MSC: Primary 11A25; Secondary 11N45, 11Y35, 33A70
Corrigendum: Math. Comp. 48 (1987), 447.
MathSciNet review: 771046
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Abstract: A simple approximation for the difference $\psi (x) - \theta (x)$ is established by elementary methods. This approximation is used to obtain several estimates for $\psi (x) - \theta (x)$ which are sharper than those previously given in the literature.

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Article copyright: © Copyright 1985 American Mathematical Society