On $p$-adic Siegel--Eisenstein series II: How to avoid the regularity condition for $p$

Siegfried Boecherer, Toshiyuki Kikuta

In a previous paper, the authors showed that two kinds of $p$-adic Siegel--Eisenstein series of degree $n$ coincide with classical modular forms of weight $k$ for ${\Gamma }_0(p)$, under t…