An improved spectral large sieve inequality for $SL_3(\mathbb{Z})$
Number Theory
2026-05-06 v1
Abstract
We prove an improved spectral large sieve inequality for the family of Hecke-Maass cusp forms. The method of proof uses duality and its structure reveals unexpected connections to Heath-Brown's large sieve for cubic characters.
Cite
@article{arxiv.2102.02796,
title = {An improved spectral large sieve inequality for $SL_3(\mathbb{Z})$},
author = {Matthew P. Young},
journal= {arXiv preprint arXiv:2102.02796},
year = {2026}
}
Comments
11 pages