On zeta-functions of infinite-dimensional representations

In this paper we consider the group of similitudes of a nondegenerate symmetric or antisymmetric bilinear form over a global field.
For representations of this group, realized as functions on the factor-space of the adèles of this group modulo the principal adèles, we construct certain zeta-functions possessing an Euler product and a meromorphic continuation.
Bibliography: 7 titles.