On a version of Mertens's theorem
Allameh Tabataba'i University,
School of Mathematical Sciences and Computer, the Department of Mathematics; Iran, Tehran
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.
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”, Chebyshevskii Sb., 19:2 (2018), 529–532
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\paper On a version of Mertens's theorem
\jour Chebyshevskii Sb.
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