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On the Archimedean Euler Factors for Spin L- Functions

On the Archimedean Euler Factors for Spin L- Functions The archimedean Euler factor in the completed spinL-function of a Siegel modular form is computed. Several formulas are obtained, relating this factor to the recursively denned factors of Andrianov and to symmetric powerL-factors for GL(2). The archimedean ε-factor is also computed. Finally, the critical points of certain motives in the sense of Deligne are determined. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Springer Journals

On the Archimedean Euler Factors for Spin L- Functions

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References (15)

Publisher
Springer Journals
Copyright
Copyright © 2002 by Mathematische Seminar
Subject
Mathematics; Algebra; Differential Geometry; Combinatorics; Number Theory; Topology; Geometry
ISSN
0025-5858
eISSN
1865-8784
DOI
10.1007/BF02941668
Publisher site
See Article on Publisher Site

Abstract

The archimedean Euler factor in the completed spinL-function of a Siegel modular form is computed. Several formulas are obtained, relating this factor to the recursively denned factors of Andrianov and to symmetric powerL-factors for GL(2). The archimedean ε-factor is also computed. Finally, the critical points of certain motives in the sense of Deligne are determined.

Journal

Abhandlungen aus dem Mathematischen Seminar der Universität HamburgSpringer Journals

Published: Aug 28, 2008

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