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Quotients of L-functions

Published online by Cambridge University Press:  22 January 2016

Bernhard E. Heim
Bernhard E. Heim*
Affiliation:
DB Reise & Touristik AG, Marketing/Sales, Bernhard.E.Heim@bku.db.de
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Abstract

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In this paper a certain type of Dirichlet series, attached to a pair of Jacobi forms and Siegel modular forms is studied. It is shown that this series can be analyzed by a new variant of the Rankin-Selberg method. We prove that for eigenforms the Dirichlet series have an Euler product and we calculate all the local L-factors. Globally this Euler product is essentially the quotient of the standard L-functions of the involved Jacobi- and Siegel modular form.

Keywords

11F2711F5511F67
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 160 , 2000 , pp. 143 - 159
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2000

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