Geodesic
Theorem on the mean value of $\psi(x,\chi)$ and its applications
Izvestiya. Mathematics , Tome 43 (1994) no. 1, pp. 49-64.

Voir la notice de l'article provenant de la source Math-Net.Ru

A new bound for the mean values of Chebyshev functions, taken over all Dirichlet characters, is obtained. 
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Z. Kh. Rakhmonov. Theorem on the mean value of  $\psi(x,\chi)$ and its applications. Izvestiya. Mathematics , Tome 43 (1994) no. 1, pp. 49-64. http://geodesic.mathdoc.fr/item/IM2_1994_43_1_a2/

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