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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Packet structure and paramodular forms


Author: Ralf Schmidt
Journal: Trans. Amer. Math. Soc. 370 (2018), 3085-3112
MSC (2010): Primary 11F46, 11F70
DOI: https://doi.org/10.1090/tran/7028
Published electronically: October 24, 2017
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Abstract: We explore the consequences of the structure of the discrete automorphic spectrum of the split orthogonal group $ \operatorname {SO}(5)$ for holomorphic Siegel modular forms of degree $ 2$. In particular, the combination of the local and global packet structure with the local paramodular newform theory for $ \operatorname {GSp}(4)$ leads to a strong multiplicity one theorem for paramodular cusp forms.


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Additional Information

Ralf Schmidt
Affiliation: Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019-3103
Email: rschmidt@math.ou.edu

DOI: https://doi.org/10.1090/tran/7028
Received by editor(s): May 18, 2016
Received by editor(s) in revised form: July 19, 2016
Published electronically: October 24, 2017
Article copyright: © Copyright 2017 American Mathematical Society

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