Geodesic
Rate of divergence of some integrals
Matematičeskie zametki, Tome 58 (1995) no. 2, pp. 243-255.

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Lower bounds for the absolute values of the functions $M(x)=\sum_{n\le x}\mu(n)$ and $\Delta(x)=\Bigl(\sum_{n\le x}\Lambda(n)\Bigr)-x$ , where $\mu$ is the Möbius function and $\Lambda$ is the Manholdt function, are obtained. 
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S. V. Konyagin; A. Yu. Popov. Rate of divergence of some integrals. Matematičeskie zametki, Tome 58 (1995) no. 2, pp. 243-255. http://geodesic.mathdoc.fr/item/MZM_1995_58_2_a6/

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