  At first a type of Eisenstein series is defined as distributions giving
nearly-holomorphic automorphic forms on a totally real field, with different
expressions (integral, summation) ; then these are shown to satisfied the
expected properties, and the Fourier coefficients are explicitly computed.
Finally, an explicit computation shows that in the simplest case, the abstract
object considered simplify down to the most classical version of Eisenstein
series.
