Hecke operators on Hilbert-Siegel theta series

Published 4 Sep 2019 in math.NT | (1909.01852v1)

Abstract: 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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