Geodesic
The function $\widetilde\zeta_{-1}(s)$ and formulas of the second generation for $\pi(x)$ and $R(x)$
Informatics and Automation, Analytic number theory and applications, Tome 218 (1997), pp. 287-298

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@article{TRSPY_1997_218_a18,
     author = {J. Moser},
     title = {The function $\widetilde\zeta_{-1}(s)$ and formulas of the second generation for $\pi(x)$ and $R(x)$},
     journal = {Informatics and Automation},
     pages = {287--298},
     publisher = {mathdoc},
     volume = {218},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_1997_218_a18/}
}
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J. Moser. The function $\widetilde\zeta_{-1}(s)$ and formulas of the second generation for $\pi(x)$ and $R(x)$. Informatics and Automation, Analytic number theory and applications, Tome 218 (1997), pp. 287-298. http://geodesic.mathdoc.fr/item/TRSPY_1997_218_a18/