Geodesic
On a version of Mertens's theorem
Čebyševskij sbornik, Tome 19 (2018) no. 2, pp. 529-532.

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

The theorem on the convergence of a product absolutely and conditionally convergent series, which is defined through the discrete integral in the N.V. Bugaev's sense, was proved. Number-theoretical examples, which illustrate this theorem, are given.
Keywords: absolutely and conditionally convergent series, the Mertens's theorem on a product of series, Bernoulli's polynomials, Riemann's zeta-function. 
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A. Ghiyasi. On a version of Mertens's theorem. Čebyševskij sbornik, Tome 19 (2018) no. 2, pp. 529-532. http://geodesic.mathdoc.fr/item/CHEB_2018_19_2_a36/

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