A1 Refereed original research article in a scientific journal

Mass Equidistribution for Saito-Kurokawa Lifts



Authors: Jääsaari, Jesse; Lester, Stephen; Saha, Abhishek

Publisher: Springer Nature

Publication year: 2024

Journal: Geometric And Functional Analysis

Journal name in source: Geometric and Functional Analysis

Volume: 34

Issue: 5

First page : 1460

Last page: 1532

ISSN: 1016-443X

eISSN: 1420-8970

DOI: https://doi.org/10.1007/s00039-024-00690-x

Web address : https://link.springer.com/article/10.1007/s00039-024-00690-x

Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/457359572


Abstract
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.

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Funding information in the publication: 
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