The ramified Siegel series, which appears in the Fourier expansion of the Siegel-Eisenstein series known as a kind of modular form, has not yet been completely determined.
In this talk, we will show that under certain conditions, the value of the ramified Siegel series can be calculated by a combinatorial formula.
We will also talk about its correspondence with functional identities, general inductive formulas, and unramified characters.