On Siegel--Eisenstein series of level $p$ and their $p$-adic properties

Siegfried Boecherer, Keiichi Gunji, Toshiyuki Kikuta

We construct a Siegel--Eisenstein series of level $p$ with a quadratic character mod $p$ which is a $U(p)$-eigenfunction with eigenvalue $1$, and calculate its Fourier coefficients…