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Siegel modular forms and theta series attached to quaternion algebras

Published online by Cambridge University Press:  22 January 2016

Siegfried Böcherer  and
Rainer Schulze-Pillot
Siegfried Böcherer
Affiliation:
Mathematisches Institut, der Universitat Freiburg, Hebelst. 29 D-7800, Freiburg
Rainer Schulze-Pillot
Affiliation:
Fakultät für Mathematik, SFB 343, Universität Bielefeld, Postfach 8640, D-4800, Bielefeld
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The two main problems in the theory of the theta correspondence or lifting (between automorphic forms on some adelic orthogonal group and on some adelic symplectic or metaplectic group) are the characterization of kernel and image of this correspondence. Both problems tend to be particularly difficult if the two groups are approximately the same size.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 121 , March 1991 , pp. 35 - 96
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1991

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