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arXiv · 2309.13009

Mass equidistribution for Saito-Kurokawa lifts

Jesse Jääsaari·Stephen Lester·Abhishek Saha
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Abstract

Let $F$ be a holomorphic cuspidal Hecke eigenform for $\mathrm{Sp}_4(\mathbb{Z})$ 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 $k\longrightarrow \infty$. 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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Jesse Jääsaari, Stephen Lester, Abhishek Saha. 2023-09-22. Mass equidistribution for Saito-Kurokawa lifts. https://doi.org/10.1007/s00039-024-00690-x

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