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Abstract
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This work bridges the abstract representation theory of
with
recent computational techniques. We construct four examples of paramodular
newforms whose associated automorphic representations have local representations at
that are
supercuspidal. We classify all relevant irreducible, admissible, supercuspidal representations
of
,
and show that our examples occur at the lowest possible paramodular level, 16. The
required theoretical and computational techniques include paramodular newform
theory, Jacobi restriction, bootstrapping and Borcherds products.
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Keywords
Siegel modular forms, paramodular forms
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Mathematical Subject Classification 2010
Primary: 11F46, 11F70
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Milestones
Received: 27 October 2018
Revised: 3 May 2019
Accepted: 30 June 2019
Published: 11 October 2019
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