Mass equidistribution for Saito-Kurokawa lifts
Number Theory
2024-07-04 v3 Analysis of PDEs
Abstract
Let be a holomorphic cuspidal Hecke eigenform for of weight that is a Saito--Kurokawa lift. Assuming the Generalized Riemann Hypothesis (GRH), we prove that the mass of equidistributes on the Siegel modular variety as . As a corollary, we show under GRH that the zero divisors of Saito--Kurokawa lifts equidistribute as their weights tend to infinity.
Keywords
Cite
@article{arxiv.2309.13009,
title = {Mass equidistribution for Saito-Kurokawa lifts},
author = {Jesse Jääsaari and Stephen Lester and Abhishek Saha},
journal= {arXiv preprint arXiv:2309.13009},
year = {2024}
}
Comments
Accepted version, to appear in GAFA; 58 pages