@article{261,
abstract = {Let G = SL(2, R) ⋉R2 and Γ = SL(2, Z) ⋉Z2. Building on recent work of Strömbergsson, we prove a rate of equidistribution for the orbits of a certain one-dimensional unipotent flow of Γ\G, which projects to a closed horocycle in the unit tangent bundle to the modular surface. We use this to answer a question of Elkies and McMullen by making effective the convergence of the gap distribution of √n mod 1.},
author = {Timothy Browning and Vinogradov, Ilya},
journal = {Journal of the London Mathematical Society},
number = {1},
pages = {61 -- 84},
publisher = {John Wiley and Sons Ltd},
title = {{Effective ratner theorem for SL (2, R) ⋉R2 and gaps in √n modulo 1}},
doi = {10.1112/jlms/jdw025},
volume = {94},
year = {2016},
}