Multiplicative properties of the Fourier coefficients of Siegel modular forms for principal congruence subgroups of the group $\operatorname{Sp}(n,\mathbf Z)$

The Euler expansion of Dirichlet series constructed from the Fourier coefficients of Siegel modular forms for principal congruence subgroups of the integral symplectic group is obtained.
Bibliography: 6 titles.