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On automorphicL-functions for the Jacobi group of degree one and a relation withL-functions for Jacobi forms
Authors:Rolf Berndt  Jost Homrighausen
Institution:1. Rolf Berndt, Jost Homrighausen, Mathematisches Seminar der Universit?t Hamburg, Bundesstra?e 55, D-20146, Hamburg, Germany
Abstract:We try to attach anL-function to an automorphic representations of the Jacobi group by defining local factors via certain zeta-integrals. We come up with two kinds of factors which are compared to factors appearing in theL-functions associated to Jacobi forms (of index 1).
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