TY - JOUR A1 - Stein, Oliver T1 - Analytic properties of eisenstein series and standard L-Functions JF - Nagoya mathematical Journal N2 - We prove a functional equation for a vector valued real analytic Eisenstein series transforming with the Weil representation of Sp(n, Z) on C[(L'/L)(n)]. By relating such an Eisenstein series with a real analytic Jacobi Eisenstein series of degree n, a functional equation for such an Eisenstein series is proved. Employing a doubling method for Jacobi forms of higher degree established by Arakawa, we transfer the aforementioned functional equation to a zeta function defined by the eigenvalues of a Jacobi eigenform. Finally, we obtain the analytic continuation and a functional equation of the standard L-function attached to a Jacobi eigenform, which was already proved by Murase, however in a different way. KW - DEGREE-N KW - EXPLICIT FORMULA KW - JACOBI FORMS KW - L-DERIVATIVES KW - LOCAL-DENSITIES KW - REPRESENTATIONS KW - UNITARY GROUPS Y1 - 2021 U6 - https://doi.org/10.1017/nmj.2020.11 VL - 244 SP - 168 EP - 203 PB - CAMBRIDGE UNIV PRESS ER -