A symplectic restriction problem
Number Theory
2019-12-18 v2
Abstract
We investigate the norm of a degree 2 Siegel modular form of asymptotically large weight whose argument is restricted to the 3-dimensional subspace of its imaginary part. On average over Saito-Kurokawa lifts an asymptotic formula is established that is consistent with the mass equidistribution conjecture on the Siegel upper half space as well as the Lindelof hypothesis for the corresponding Koecher-Maass series. The ingredients include a new relative trace formula for pairs of Heegner periods.
Cite
@article{arxiv.1912.07496,
title = {A symplectic restriction problem},
author = {Valentin Blomer and Andrew Corbett},
journal= {arXiv preprint arXiv:1912.07496},
year = {2019}
}
Comments
66 pages, metadata updated