  In this paper, we introduce the normalized Shintani L-function of several
variables by an integral representation and prove its functional equation. The
Shintani L-function is a generalization to several variables of the
Hurwitz-Lerch zeta function and the functional equation given in this paper is
a generalization of the functional equation of Hurwitz-Lerch zeta function. In
addition to the functional equation, we give special values of the normalized
Shintani L-function at non-positive integers and some positive integers.
