Effective equidistribution of shears and applications
Number Theory
2015-06-19 v1
Abstract
A "shear" is a unipotent translate of a cuspidal geodesic ray in the quotient of the hyperbolic plane by a non-uniform discrete subgroup of PSL(2,R), possibly of infinite co-volume. We prove the regularized equidistribution of shears under large translates with effective (that is, power saving) rates. We also give applications to weighted second moments of GL(2) automorphic L-functions, and to counting lattice points on locally affine symmetric spaces.
Cite
@article{arxiv.1506.05534,
title = {Effective equidistribution of shears and applications},
author = {Dubi Kelmer and Alex Kontorovich},
journal= {arXiv preprint arXiv:1506.05534},
year = {2015}
}
Comments
41 pages, 4 figures