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Let F be a holomorphic cuspidal Hecke eigenform for Sp₄(Z) of weight k that is a Saito–Kurokawa lift. Assuming the Generalized Riemann Hypothesis (GRH), we prove that the mass of F equidistributes on the Siegel modular variety as k ⟶∞. As a corollary, we show under GRH that the zero divisors of Saito–Kurokawa lifts equidistribute as their weights tend to infinity.
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Jääsaari et al. (2024) studied this question.
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