Mass Equidistribution for Saito-Kurokawa Lifts




Jääsaari, Jesse; Lester, Stephen; Saha, Abhishek

PublisherSpringer Nature

2024

Geometric And Functional Analysis

Geometric and Functional Analysis

34

5

1460

1532

1016-443X

1420-8970

DOIhttps://doi.org/10.1007/s00039-024-00690-x(external)

https://link.springer.com/article/10.1007/s00039-024-00690-x(external)

https://research.utu.fi/converis/portal/detail/Publication/457359572(external)



Let F be a holomorphic cuspidal Hecke eigenform for 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.


This work was supported by the Engineering and Physical Sciences Research Council [grant number EP/T028343/1].


Last updated on 2025-28-02 at 10:19