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Hecke operators on Hilbert-Siegel theta series (1909.01852v1)
Published 4 Sep 2019 in math.NT
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.