Let K be a quadratic imaginary field and π an irreducible regular algebraic cuspidal automorphic representation of GL(2,AK). Under the assumption that the central character χπ is isomorphic to its complex conjugate, Taylor et al. associated p-adic Galois representations ρπ,p : GK → GL(2,Qp) which are unramified except at finitely many places, and such that the truncated L-function of the Galois...

The p-adic interpolation properties of Fourier coefficients of elliptic Eisenstein series are by now classical. These properties can be considered as the starting point and as an important tool in the theory of p-adic L-functions and p-adic families of modular forms. In the case of Siegel modular forms there are two types of Eisenstein series. A Siegel Eisenstein measure which comes from the Si...