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Siegel modular forms and theta series attached to quaternion algebras II

Published online by Cambridge University Press:  22 January 2016

S. Böcherer  and
R. Schulze-Pillot
S. Böcherer
Affiliation:
Fakultät für Mathematik und Informatik, Universität Mannheim, Seminargebäude A5, D-68131 Mannheim, Germanyboech@math.uni-mannheim.de
R. Schulze-Pillot
Affiliation:
Fachbereich Mathematik, Universität des Saarlandes, Postfach 151150, D-66041 Saarbrücken, Germanyschulzep@math.uni-sb.de
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Abstract

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We continue our study of Yoshida’s lifting, which associates to a pair of automorphic forms on the adelic multiplicative group of a quaternion algebra a Siegel modular form of degree 2. We consider here the case that the automorphic forms on the quaternion algebra correspond to modular forms of arbitrary even weights and square free levels; in particular we obtain a construction of Siegel modular forms of weight 3 attached to a pair of elliptic modular forms of weights 2 and 4.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 147 , September 1997 , pp. 71 - 106
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1997

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