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ACTION OF HECKE OPERATORS ON SIEGEL THETA SERIES I

ACTION OF HECKE OPERATORS ON SIEGEL THETA SERIES I

We apply the Hecke operators T(p) and [Formula: see text] to a degree n theta series attached to a rank 2k ℤ-lattice L, n ≤ k, equipped with a positive definite quadratic form in the case that L/pL is hyperbolic. We show that the image of the theta series under …