A Few Factors from the Euler Product Are Sufficient for Calculating the Zeta Function with High Precision

Аннотация

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 ζ(1/4 + 10i).