Geodesic
A few factors from the Euler product are sufficient for calculating the zeta function with high precision
Informatics and Automation, Analytic number theory, Tome 299 (2017), pp. 192-202.

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

The paper demonstrates by numerical examples a nontraditional way to get high precision values of Riemann's zeta function inside the critical strip by using the functional equation and the factors from the Euler product corresponding to a very small number of primes. For example, the three initial primes produce more than 50 correct decimal digits of $\zeta (1/4+10\kern 1pt\mathrm i)$.
Keywords: Riemann's zeta function, functional equation
Mots-clés : Euler product. 
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     title = {A few factors from the {Euler} product are sufficient for calculating the zeta function with high precision},
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Yu. V. Matiyasevich. A few factors from the Euler product are sufficient for calculating the zeta function with high precision. Informatics and Automation, Analytic number theory, Tome 299 (2017), pp. 192-202. http://geodesic.mathdoc.fr/item/TRSPY_2017_299_a11/

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