  The paper considers a method for converting a divergent Dirichlet series into
a convergent Dirichlet series by directly converting the coefficients of the
original series $1\rightarrow\delta_{n}(s)$ for the Riemann Zeta function. In
the first part of the paper, we study the properties of the coefficients
${\delta}^*_n$ of a finite Dirichlet series for approximating the Riemann Zeta
function on the interval $\Delta{H}$. In general, the coefficients
${\delta}^*_n$ of a finite Dirichlet series are complex numbers. The dependence
of the coefficients ${\delta}^*_n$ of a finite Dirichlet series on the ordinal
number of the coefficient $n$ is established, which can be set by a sigmoid,
and for each $N$ there is a single sigmoid $\hat{\delta}_n$ and a single
interval $\Delta{H}$ for which the condition is satisfied
$$\Big|\sum\limits_{n}^{N}\{{\delta}^*_n- \hat\delta_n\}\Big| < \epsilon;$$ The
second part of the paper presents the results of using the sigmoid to calculate
the values of the generalized coefficients $\delta_{n}(s)$ of the Dirichlet
series for the Riemann Zeta function. For the accuracy of the calculation,
$\log_{10}(1/\epsilon)$ values of the Riemann Zeta Function by summing the
resulting convergent Dirichlet series, the power of the imaginary part
$t=Im(s)$ is established. Presumably, the sigmoid can be used to asymptotically
calculate the values of the analytical continuation of any function defined by
the Dirichlet series. Presumably, for any divergent series to which the
generalized summation method is applicable, it is possible to find a direct
transformation of the coefficients of the divergent series, so that the
resulting series with the transformed coefficients will converge to the same
function as the series of transformed partial sums.
