2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/109131Let K/F be a quadratic extension of number fields. After developing a theory of the Eisenstein series over F, we prove a formula which expresses a partial zeta function of K as a certain integral of the Eisenstein series. As an application, we obtain a limit formula of Kronecker's type which relates the 0-th Laurent coefficients at s=1 of zeta functions of K and F.16 pagesNumber Theory11R42 (Primary) 11R11 (Secondary)text