Abstract:
It is well known that the L-function associated to a Siegel eigenform f is equal to a Rankin-Selberg type zeta-integral involving f and a restricted Eisenstein series ([3], [14]). At some point in the proof one has to show the equality of a certain Dirichlet series and the L-function, which follows from a rationality theorem for a certain formal power series over the Hecke algebra. The main purpose of this paper is to develop a Hecke theory for the Jacobi group and to prove such a rationality theorem.
This is a preview of subscription content, log in via an institution to check access.
We’re sorry, something doesn't seem to be working properly.
Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.
Author information
Authors and Affiliations
Additional information
Received: 17 August 1998 / Revised version: 17 February 1999
Rights and permissions
About this article
Cite this article
Dulinski, J. Jacobi–Hecke algebras and a rationality theorem for a formal Hecke series. manuscripta math. 99, 255–285 (1999). https://doi.org/10.1007/s002290050173
Issue Date:
DOI: https://doi.org/10.1007/s002290050173