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arXiv:1909.01852 [math.NT]AbstractReferencesReviewsResources

Hecke operators on Hilbert-Siegel theta series

Dan Fretwell, Lynne Walling

Published 2019-09-04Version 1

We consider the action of Hecke-type operators on Hilbert-Siegel theta series attached to lattices of even rank. We show that average Hilbert-Siegel theta series are eigenforms for these operators, and we explicitly compute the eigenvalues.

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