Hyperbolic lattice point counting in unbounded rank
Number Theory
2023-09-04 v1 Spectral Theory
Abstract
We use spectral analysis to give an asymptotic formula for the number of matrices in SL(n, Z) of height at most T with strong error terms, far beyond the previous known, both for small and large rank.
Keywords
Cite
@article{arxiv.2309.00522,
title = {Hyperbolic lattice point counting in unbounded rank},
author = {Valentin Blomer and Christopher Lutsko},
journal= {arXiv preprint arXiv:2309.00522},
year = {2023}
}