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- W3021560733 abstract "The Mertens' first theorem gives us the following asymptotic formula begin{equation*} sum_{substack{pleq x p~prime}}frac{lnp}{p}=lnx+O(1), end{equation*} and the Mertens' second theorem indicates that there exists a constant $Bapprox 0.261$, named the Mertens constant, such that begin{equation*} sum_{substack{pleq x p~prime}}frac{1}{p}=ln(lnx)+B+Oleft(frac{1}{lnx}right). end{equation*} In this paper, by using the Abel summation formula and Dirichlet's hyperbola method, we extend them to multiple cases." @default.
- W3021560733 created "2020-05-13" @default.
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- W3021560733 date "2019-09-24" @default.
- W3021560733 modified "2023-09-27" @default.
- W3021560733 title "Multiple Mertens evaluations" @default.
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