  The ramified Siegel series is an important factor that arises in the Fourier
coefficient of the Siegel-Eisenstein series. Many results of the formula of the
ramified Siegel series under some conditions are already known. However, the
explicit formula of the general condition is not calculated. We calculate the
formula of the Siegel series where the dimension $n$ is arbitrary, and the
additive character $\psi$ is primitive. We calculate when the field $F$ is a
non-archimedean non-dyadic local field, including $F=\mathbb{Q}_p$ case.
Moreover, we calculate the explicit value of the ramified Siegel series when
degree $n$ is 1, 2 and 3.
